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Finding the Fourth Proportional to 80,970, 111,753.72 and 47,436

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Solution

The fourth proportional to 80,970, 111,753.72 and 47,436 is: 65,470.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,970 : 111,753.72 = 47,436 : x
  2. Step 2: Convert to fraction form
    80,970/111,753.72 = 47,436/x
  3. Step 3: Cross multiply
    80,970x = 111,753.72 × 47,436
  4. Step 4: Simplify right side
    80,970x = 5,301,149,461.92
  5. Step 5: Solve for x
    x = 5,301,149,461.92/80,970
  6. Step 6: Final answer
    x = 65,470.54

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