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Finding the Fourth Proportional to 42,761.54, 59,005.80 and 23,638.74

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Solution

The fourth proportional to 42,761.54, 59,005.80 and 23,638.74 is: 32,618.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,761.54 : 59,005.80 = 23,638.74 : x
  2. Step 2: Convert to fraction form
    42,761.54/59,005.80 = 23,638.74/x
  3. Step 3: Cross multiply
    42,761.54x = 59,005.80 × 23,638.74
  4. Step 4: Simplify right side
    42,761.54x = 1,394,822,764.69
  5. Step 5: Solve for x
    x = 1,394,822,764.69/42,761.54
  6. Step 6: Final answer
    x = 32,618.63

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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.