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Finding the Fourth Proportional to 39,508.31, 59,257.90 and 9,923.89

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Solution

The fourth proportional to 39,508.31, 59,257.90 and 9,923.89 is: 14,884.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,508.31 : 59,257.90 = 9,923.89 : x
  2. Step 2: Convert to fraction form
    39,508.31/59,257.90 = 9,923.89/x
  3. Step 3: Cross multiply
    39,508.31x = 59,257.90 × 9,923.89
  4. Step 4: Simplify right side
    39,508.31x = 588,068,881.23
  5. Step 5: Solve for x
    x = 588,068,881.23/39,508.31
  6. Step 6: Final answer
    x = 14,884.69

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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.