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Finding the Fourth Proportional to 42,191.12, 58,221.42 and 23,327

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Solution

The fourth proportional to 42,191.12, 58,221.42 and 23,327 is: 32,189.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,191.12 : 58,221.42 = 23,327 : x
  2. Step 2: Convert to fraction form
    42,191.12/58,221.42 = 23,327/x
  3. Step 3: Cross multiply
    42,191.12x = 58,221.42 × 23,327
  4. Step 4: Simplify right side
    42,191.12x = 1,358,131,064.34
  5. Step 5: Solve for x
    x = 1,358,131,064.34/42,191.12
  6. Step 6: Final answer
    x = 32,189.97

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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.