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Finding the Fourth Proportional to 39,105.90, 58,658.28 and 9,523.80

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Solution

The fourth proportional to 39,105.90, 58,658.28 and 9,523.80 is: 14,285.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,105.90 : 58,658.28 = 9,523.80 : x
  2. Step 2: Convert to fraction form
    39,105.90/58,658.28 = 9,523.80/x
  3. Step 3: Cross multiply
    39,105.90x = 58,658.28 × 9,523.80
  4. Step 4: Simplify right side
    39,105.90x = 558,649,727.06
  5. Step 5: Solve for x
    x = 558,649,727.06/39,105.90
  6. Step 6: Final answer
    x = 14,285.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.