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Finding the Fourth Proportional to 42,330.80, 58,419.96 and 23,474

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Solution

The fourth proportional to 42,330.80, 58,419.96 and 23,474 is: 32,396.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,330.80 : 58,419.96 = 23,474 : x
  2. Step 2: Convert to fraction form
    42,330.80/58,419.96 = 23,474/x
  3. Step 3: Cross multiply
    42,330.80x = 58,419.96 × 23,474
  4. Step 4: Simplify right side
    42,330.80x = 1,371,350,141.04
  5. Step 5: Solve for x
    x = 1,371,350,141.04/42,330.80
  6. Step 6: Final answer
    x = 32,396.04

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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.