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Finding the Fourth Proportional to 42,909.78, 59,214.50 and 23,789.46

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Solution

The fourth proportional to 42,909.78, 59,214.50 and 23,789.46 is: 32,828.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,909.78 : 59,214.50 = 23,789.46 : x
  2. Step 2: Convert to fraction form
    42,909.78/59,214.50 = 23,789.46/x
  3. Step 3: Cross multiply
    42,909.78x = 59,214.50 × 23,789.46
  4. Step 4: Simplify right side
    42,909.78x = 1,408,680,979.17
  5. Step 5: Solve for x
    x = 1,408,680,979.17/42,909.78
  6. Step 6: Final answer
    x = 32,828.90

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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.