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Finding the Fourth Proportional to 59,650.78, 82,319.90 and 34,165.40

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Solution

The fourth proportional to 59,650.78, 82,319.90 and 34,165.40 is: 47,149.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,650.78 : 82,319.90 = 34,165.40 : x
  2. Step 2: Convert to fraction form
    59,650.78/82,319.90 = 34,165.40/x
  3. Step 3: Cross multiply
    59,650.78x = 82,319.90 × 34,165.40
  4. Step 4: Simplify right side
    59,650.78x = 2,812,491,729.03
  5. Step 5: Solve for x
    x = 2,812,491,729.03/59,650.78
  6. Step 6: Final answer
    x = 47,149.29

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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.