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Finding the Fourth Proportional to 47,751.60, 71,703.90 and 37,972.20

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Solution

The fourth proportional to 47,751.60, 71,703.90 and 37,972.20 is: 57,019.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,751.60 : 71,703.90 = 37,972.20 : x
  2. Step 2: Convert to fraction form
    47,751.60/71,703.90 = 37,972.20/x
  3. Step 3: Cross multiply
    47,751.60x = 71,703.90 × 37,972.20
  4. Step 4: Simplify right side
    47,751.60x = 2,722,754,831.58
  5. Step 5: Solve for x
    x = 2,722,754,831.58/47,751.60
  6. Step 6: Final answer
    x = 57,019.13

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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.