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Finding the Fourth Proportional to 71,474.43, 107,076.32 and 47,710.32

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Solution

The fourth proportional to 71,474.43, 107,076.32 and 47,710.32 is: 71,475.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,474.43 : 107,076.32 = 47,710.32 : x
  2. Step 2: Convert to fraction form
    71,474.43/107,076.32 = 47,710.32/x
  3. Step 3: Cross multiply
    71,474.43x = 107,076.32 × 47,710.32
  4. Step 4: Simplify right side
    71,474.43x = 5,108,645,901.12
  5. Step 5: Solve for x
    x = 5,108,645,901.12/71,474.43
  6. Step 6: Final answer
    x = 71,475.15

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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.