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Finding the Fourth Proportional to 42,141.97, 58,150.96 and 23,277.97

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Solution

The fourth proportional to 42,141.97, 58,150.96 and 23,277.97 is: 32,120.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,141.97 : 58,150.96 = 23,277.97 : x
  2. Step 2: Convert to fraction form
    42,141.97/58,150.96 = 23,277.97/x
  3. Step 3: Cross multiply
    42,141.97x = 58,150.96 × 23,277.97
  4. Step 4: Simplify right side
    42,141.97x = 1,353,636,302.35
  5. Step 5: Solve for x
    x = 1,353,636,302.35/42,141.97
  6. Step 6: Final answer
    x = 32,120.86

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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.