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Finding the Fourth Proportional to 34,517.28, 47,602.20 and 25,587

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Solution

The fourth proportional to 34,517.28, 47,602.20 and 25,587 is: 35,286.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,517.28 : 47,602.20 = 25,587 : x
  2. Step 2: Convert to fraction form
    34,517.28/47,602.20 = 25,587/x
  3. Step 3: Cross multiply
    34,517.28x = 47,602.20 × 25,587
  4. Step 4: Simplify right side
    34,517.28x = 1,217,997,491.40
  5. Step 5: Solve for x
    x = 1,217,997,491.40/34,517.28
  6. Step 6: Final answer
    x = 35,286.60

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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.