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Finding the Fourth Proportional to 42,488.92, 58,634.85 and 23,626

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Solution

The fourth proportional to 42,488.92, 58,634.85 and 23,626 is: 32,603.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,488.92 : 58,634.85 = 23,626 : x
  2. Step 2: Convert to fraction form
    42,488.92/58,634.85 = 23,626/x
  3. Step 3: Cross multiply
    42,488.92x = 58,634.85 × 23,626
  4. Step 4: Simplify right side
    42,488.92x = 1,385,306,966.10
  5. Step 5: Solve for x
    x = 1,385,306,966.10/42,488.92
  6. Step 6: Final answer
    x = 32,603.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.