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Finding the Fourth Proportional to 34,098.60, 51,155.10 and 10,404.20

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Solution

The fourth proportional to 34,098.60, 51,155.10 and 10,404.20 is: 15,608.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,098.60 : 51,155.10 = 10,404.20 : x
  2. Step 2: Convert to fraction form
    34,098.60/51,155.10 = 10,404.20/x
  3. Step 3: Cross multiply
    34,098.60x = 51,155.10 × 10,404.20
  4. Step 4: Simplify right side
    34,098.60x = 532,227,891.42
  5. Step 5: Solve for x
    x = 532,227,891.42/34,098.60
  6. Step 6: Final answer
    x = 15,608.50

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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.