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Finding the Fourth Proportional to 39,105.68, 58,657.89 and 9,523.46

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Solution

The fourth proportional to 39,105.68, 58,657.89 and 9,523.46 is: 14,285.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,105.68 : 58,657.89 = 9,523.46 : x
  2. Step 2: Convert to fraction form
    39,105.68/58,657.89 = 9,523.46/x
  3. Step 3: Cross multiply
    39,105.68x = 58,657.89 × 9,523.46
  4. Step 4: Simplify right side
    39,105.68x = 558,625,775.81
  5. Step 5: Solve for x
    x = 558,625,775.81/39,105.68
  6. Step 6: Final answer
    x = 14,285.03

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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.