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Finding the Fourth Proportional to 42,542.52, 58,701.42 and 23,676

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Solution

The fourth proportional to 42,542.52, 58,701.42 and 23,676 is: 32,668.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,542.52 : 58,701.42 = 23,676 : x
  2. Step 2: Convert to fraction form
    42,542.52/58,701.42 = 23,676/x
  3. Step 3: Cross multiply
    42,542.52x = 58,701.42 × 23,676
  4. Step 4: Simplify right side
    42,542.52x = 1,389,814,819.92
  5. Step 5: Solve for x
    x = 1,389,814,819.92/42,542.52
  6. Step 6: Final answer
    x = 32,668.84

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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.