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Finding the Fourth Proportional to 61,772.40, 85,246.56 and 34,915.20

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Solution

The fourth proportional to 61,772.40, 85,246.56 and 34,915.20 is: 48,183.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,772.40 : 85,246.56 = 34,915.20 : x
  2. Step 2: Convert to fraction form
    61,772.40/85,246.56 = 34,915.20/x
  3. Step 3: Cross multiply
    61,772.40x = 85,246.56 × 34,915.20
  4. Step 4: Simplify right side
    61,772.40x = 2,976,400,691.71
  5. Step 5: Solve for x
    x = 2,976,400,691.71/61,772.40
  6. Step 6: Final answer
    x = 48,183.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.