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Finding the Fourth Proportional to 83,459.82, 125,210.24 and 24,296

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Solution

The fourth proportional to 83,459.82, 125,210.24 and 24,296 is: 36,449.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,459.82 : 125,210.24 = 24,296 : x
  2. Step 2: Convert to fraction form
    83,459.82/125,210.24 = 24,296/x
  3. Step 3: Cross multiply
    83,459.82x = 125,210.24 × 24,296
  4. Step 4: Simplify right side
    83,459.82x = 3,042,107,991.04
  5. Step 5: Solve for x
    x = 3,042,107,991.04/83,459.82
  6. Step 6: Final answer
    x = 36,449.97

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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.