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Finding the Fourth Proportional to 71,048.01, 106,470.55 and 52,180.08

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Solution

The fourth proportional to 71,048.01, 106,470.55 and 52,180.08 is: 78,195.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,048.01 : 106,470.55 = 52,180.08 : x
  2. Step 2: Convert to fraction form
    71,048.01/106,470.55 = 52,180.08/x
  3. Step 3: Cross multiply
    71,048.01x = 106,470.55 × 52,180.08
  4. Step 4: Simplify right side
    71,048.01x = 5,555,641,816.64
  5. Step 5: Solve for x
    x = 5,555,641,816.64/71,048.01
  6. Step 6: Final answer
    x = 78,195.60

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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.