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Finding the Fourth Proportional to 34,598.28, 47,695.86 and 24,645

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Solution

The fourth proportional to 34,598.28, 47,695.86 and 24,645 is: 33,974.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,598.28 : 47,695.86 = 24,645 : x
  2. Step 2: Convert to fraction form
    34,598.28/47,695.86 = 24,645/x
  3. Step 3: Cross multiply
    34,598.28x = 47,695.86 × 24,645
  4. Step 4: Simplify right side
    34,598.28x = 1,175,464,469.70
  5. Step 5: Solve for x
    x = 1,175,464,469.70/34,598.28
  6. Step 6: Final answer
    x = 33,974.65

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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.