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Finding the Fourth Proportional to 71,349.30, 107,023.92 and 24,598.50

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Solution

The fourth proportional to 71,349.30, 107,023.92 and 24,598.50 is: 36,897.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,349.30 : 107,023.92 = 24,598.50 : x
  2. Step 2: Convert to fraction form
    71,349.30/107,023.92 = 24,598.50/x
  3. Step 3: Cross multiply
    71,349.30x = 107,023.92 × 24,598.50
  4. Step 4: Simplify right side
    71,349.30x = 2,632,627,896.12
  5. Step 5: Solve for x
    x = 2,632,627,896.12/71,349.30
  6. Step 6: Final answer
    x = 36,897.74

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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.