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Finding the Fourth Proportional to 83,215.98, 124,819.11 and 24,050.34

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Solution

The fourth proportional to 83,215.98, 124,819.11 and 24,050.34 is: 36,074.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,215.98 : 124,819.11 = 24,050.34 : x
  2. Step 2: Convert to fraction form
    83,215.98/124,819.11 = 24,050.34/x
  3. Step 3: Cross multiply
    83,215.98x = 124,819.11 × 24,050.34
  4. Step 4: Simplify right side
    83,215.98x = 3,001,942,034.00
  5. Step 5: Solve for x
    x = 3,001,942,034.00/83,215.98
  6. Step 6: Final answer
    x = 36,074.11

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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.