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Finding the Fourth Proportional to 83,634, 125,426.40 and 24,455.60

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Solution

The fourth proportional to 83,634, 125,426.40 and 24,455.60 is: 36,676.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,634 : 125,426.40 = 24,455.60 : x
  2. Step 2: Convert to fraction form
    83,634/125,426.40 = 24,455.60/x
  3. Step 3: Cross multiply
    83,634x = 125,426.40 × 24,455.60
  4. Step 4: Simplify right side
    83,634x = 3,067,378,089.70
  5. Step 5: Solve for x
    x = 3,067,378,089.70/83,634
  6. Step 6: Final answer
    x = 36,676.21

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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.