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Finding the Fourth Proportional to 113,847.50, 170,793.12 and 51,518

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Solution

The fourth proportional to 113,847.50, 170,793.12 and 51,518 is: 77,286.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,847.50 : 170,793.12 = 51,518 : x
  2. Step 2: Convert to fraction form
    113,847.50/170,793.12 = 51,518/x
  3. Step 3: Cross multiply
    113,847.50x = 170,793.12 × 51,518
  4. Step 4: Simplify right side
    113,847.50x = 8,798,919,956.16
  5. Step 5: Solve for x
    x = 8,798,919,956.16/113,847.50
  6. Step 6: Final answer
    x = 77,286.90

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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.