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Finding the Fourth Proportional to 42,454.66, 58,591.12 and 23,593

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Solution

The fourth proportional to 42,454.66, 58,591.12 and 23,593 is: 32,560.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,454.66 : 58,591.12 = 23,593 : x
  2. Step 2: Convert to fraction form
    42,454.66/58,591.12 = 23,593/x
  3. Step 3: Cross multiply
    42,454.66x = 58,591.12 × 23,593
  4. Step 4: Simplify right side
    42,454.66x = 1,382,340,294.16
  5. Step 5: Solve for x
    x = 1,382,340,294.16/42,454.66
  6. Step 6: Final answer
    x = 32,560.39

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Why These Related Problems?

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