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Finding the Fourth Proportional to 71,615.28, 107,424 and 24,869.28

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Solution

The fourth proportional to 71,615.28, 107,424 and 24,869.28 is: 37,304.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,615.28 : 107,424 = 24,869.28 : x
  2. Step 2: Convert to fraction form
    71,615.28/107,424 = 24,869.28/x
  3. Step 3: Cross multiply
    71,615.28x = 107,424 × 24,869.28
  4. Step 4: Simplify right side
    71,615.28x = 2,671,557,534.72
  5. Step 5: Solve for x
    x = 2,671,557,534.72/71,615.28
  6. Step 6: Final answer
    x = 37,304.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.