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Finding the Fourth Proportional to 47,842.64, 71,761.08 and 15,010.64

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Solution

The fourth proportional to 47,842.64, 71,761.08 and 15,010.64 is: 22,515.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,842.64 : 71,761.08 = 15,010.64 : x
  2. Step 2: Convert to fraction form
    47,842.64/71,761.08 = 15,010.64/x
  3. Step 3: Cross multiply
    47,842.64x = 71,761.08 × 15,010.64
  4. Step 4: Simplify right side
    47,842.64x = 1,077,179,737.89
  5. Step 5: Solve for x
    x = 1,077,179,737.89/47,842.64
  6. Step 6: Final answer
    x = 22,515.06

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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.