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Finding the Fourth Proportional to 83,473.16, 125,214.03 and 24,313.41

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Solution

The fourth proportional to 83,473.16, 125,214.03 and 24,313.41 is: 36,471.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,473.16 : 125,214.03 = 24,313.41 : x
  2. Step 2: Convert to fraction form
    83,473.16/125,214.03 = 24,313.41/x
  3. Step 3: Cross multiply
    83,473.16x = 125,214.03 × 24,313.41
  4. Step 4: Simplify right side
    83,473.16x = 3,044,380,049.14
  5. Step 5: Solve for x
    x = 3,044,380,049.14/83,473.16
  6. Step 6: Final answer
    x = 36,471.37

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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.