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Finding the Fourth Proportional to 42,402.90, 58,511.79 and 23,538

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Solution

The fourth proportional to 42,402.90, 58,511.79 and 23,538 is: 32,480.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,402.90 : 58,511.79 = 23,538 : x
  2. Step 2: Convert to fraction form
    42,402.90/58,511.79 = 23,538/x
  3. Step 3: Cross multiply
    42,402.90x = 58,511.79 × 23,538
  4. Step 4: Simplify right side
    42,402.90x = 1,377,250,513.02
  5. Step 5: Solve for x
    x = 1,377,250,513.02/42,402.90
  6. Step 6: Final answer
    x = 32,480.10

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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.