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Finding the Fourth Proportional to 56,798.40, 85,197.60 and 31,915.20

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Solution

The fourth proportional to 56,798.40, 85,197.60 and 31,915.20 is: 47,872.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,798.40 : 85,197.60 = 31,915.20 : x
  2. Step 2: Convert to fraction form
    56,798.40/85,197.60 = 31,915.20/x
  3. Step 3: Cross multiply
    56,798.40x = 85,197.60 × 31,915.20
  4. Step 4: Simplify right side
    56,798.40x = 2,719,098,443.52
  5. Step 5: Solve for x
    x = 2,719,098,443.52/56,798.40
  6. Step 6: Final answer
    x = 47,872.80

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Why These Related Problems?

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