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Finding the Fourth Proportional to 71,840.10, 107,760.14 and 27,471.32

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Solution

The fourth proportional to 71,840.10, 107,760.14 and 27,471.32 is: 41,206.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,840.10 : 107,760.14 = 27,471.32 : x
  2. Step 2: Convert to fraction form
    71,840.10/107,760.14 = 27,471.32/x
  3. Step 3: Cross multiply
    71,840.10x = 107,760.14 × 27,471.32
  4. Step 4: Simplify right side
    71,840.10x = 2,960,313,289.18
  5. Step 5: Solve for x
    x = 2,960,313,289.18/71,840.10
  6. Step 6: Final answer
    x = 41,206.98

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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.