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Finding the Fourth Proportional to 83,624.32, 125,400 and 24,458.64

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Solution

The fourth proportional to 83,624.32, 125,400 and 24,458.64 is: 36,677.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,624.32 : 125,400 = 24,458.64 : x
  2. Step 2: Convert to fraction form
    83,624.32/125,400 = 24,458.64/x
  3. Step 3: Cross multiply
    83,624.32x = 125,400 × 24,458.64
  4. Step 4: Simplify right side
    83,624.32x = 3,067,113,456
  5. Step 5: Solve for x
    x = 3,067,113,456/83,624.32
  6. Step 6: Final answer
    x = 36,677.29

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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.