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Finding the Fourth Proportional to 71,313,582.20, 106,970,373.30 and 33,049,830.20

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Solution

The fourth proportional to 71,313,582.20, 106,970,373.30 and 33,049,830.20 is: 49,574,745.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,313,582.20 : 106,970,373.30 = 33,049,830.20 : x
  2. Step 2: Convert to fraction form
    71,313,582.20/106,970,373.30 = 33,049,830.20/x
  3. Step 3: Cross multiply
    71,313,582.20x = 106,970,373.30 × 33,049,830.20
  4. Step 4: Simplify right side
    71,313,582.20x = 3,535,352,673,995,613.50
  5. Step 5: Solve for x
    x = 3,535,352,673,995,613.50/71,313,582.20
  6. Step 6: Final answer
    x = 49,574,745.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.