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Finding the Fourth Proportional to 34,751.60, 52,138.20 and 13,694.30

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Solution

The fourth proportional to 34,751.60, 52,138.20 and 13,694.30 is: 20,545.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,751.60 : 52,138.20 = 13,694.30 : x
  2. Step 2: Convert to fraction form
    34,751.60/52,138.20 = 13,694.30/x
  3. Step 3: Cross multiply
    34,751.60x = 52,138.20 × 13,694.30
  4. Step 4: Simplify right side
    34,751.60x = 713,996,152.26
  5. Step 5: Solve for x
    x = 713,996,152.26/34,751.60
  6. Step 6: Final answer
    x = 20,545.71

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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.