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Finding the Fourth Proportional to 42,363.48, 58,469.22 and 24,456

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Solution

The fourth proportional to 42,363.48, 58,469.22 and 24,456 is: 33,753.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,363.48 : 58,469.22 = 24,456 : x
  2. Step 2: Convert to fraction form
    42,363.48/58,469.22 = 24,456/x
  3. Step 3: Cross multiply
    42,363.48x = 58,469.22 × 24,456
  4. Step 4: Simplify right side
    42,363.48x = 1,429,923,244.32
  5. Step 5: Solve for x
    x = 1,429,923,244.32/42,363.48
  6. Step 6: Final answer
    x = 33,753.68

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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.