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Finding the Fourth Proportional to 77,206.90, 106,530.38 and 48,509.94

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Solution

The fourth proportional to 77,206.90, 106,530.38 and 48,509.94 is: 66,934.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,206.90 : 106,530.38 = 48,509.94 : x
  2. Step 2: Convert to fraction form
    77,206.90/106,530.38 = 48,509.94/x
  3. Step 3: Cross multiply
    77,206.90x = 106,530.38 × 48,509.94
  4. Step 4: Simplify right side
    77,206.90x = 5,167,782,166.87
  5. Step 5: Solve for x
    x = 5,167,782,166.87/77,206.90
  6. Step 6: Final answer
    x = 66,934.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.