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Finding the Fourth Proportional to 42,422, 58,542.36 and 24,758

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Solution

The fourth proportional to 42,422, 58,542.36 and 24,758 is: 34,166.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,422 : 58,542.36 = 24,758 : x
  2. Step 2: Convert to fraction form
    42,422/58,542.36 = 24,758/x
  3. Step 3: Cross multiply
    42,422x = 58,542.36 × 24,758
  4. Step 4: Simplify right side
    42,422x = 1,449,391,748.88
  5. Step 5: Solve for x
    x = 1,449,391,748.88/42,422
  6. Step 6: Final answer
    x = 34,166.04

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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.