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Finding the Fourth Proportional to 84,100.34, 126,113.88 and 24,115.56

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Solution

The fourth proportional to 84,100.34, 126,113.88 and 24,115.56 is: 36,162.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,100.34 : 126,113.88 = 24,115.56 : x
  2. Step 2: Convert to fraction form
    84,100.34/126,113.88 = 24,115.56/x
  3. Step 3: Cross multiply
    84,100.34x = 126,113.88 × 24,115.56
  4. Step 4: Simplify right side
    84,100.34x = 3,041,306,839.97
  5. Step 5: Solve for x
    x = 3,041,306,839.97/84,100.34
  6. Step 6: Final answer
    x = 36,162.84

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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.