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Finding the Fourth Proportional to 34,654.28, 47,773.14 and 24,701

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Solution

The fourth proportional to 34,654.28, 47,773.14 and 24,701 is: 34,051.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,654.28 : 47,773.14 = 24,701 : x
  2. Step 2: Convert to fraction form
    34,654.28/47,773.14 = 24,701/x
  3. Step 3: Cross multiply
    34,654.28x = 47,773.14 × 24,701
  4. Step 4: Simplify right side
    34,654.28x = 1,180,044,331.14
  5. Step 5: Solve for x
    x = 1,180,044,331.14/34,654.28
  6. Step 6: Final answer
    x = 34,051.91

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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.