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Finding the Fourth Proportional to 39,632.92, 59,444.52 and 23,002

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Solution

The fourth proportional to 39,632.92, 59,444.52 and 23,002 is: 34,500.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,632.92 : 59,444.52 = 23,002 : x
  2. Step 2: Convert to fraction form
    39,632.92/59,444.52 = 23,002/x
  3. Step 3: Cross multiply
    39,632.92x = 59,444.52 × 23,002
  4. Step 4: Simplify right side
    39,632.92x = 1,367,342,849.04
  5. Step 5: Solve for x
    x = 1,367,342,849.04/39,632.92
  6. Step 6: Final answer
    x = 34,500.18

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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.