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Finding the Fourth Proportional to 99,293.87, 148,939.49 and 24,414.66

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Solution

The fourth proportional to 99,293.87, 148,939.49 and 24,414.66 is: 36,621.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,293.87 : 148,939.49 = 24,414.66 : x
  2. Step 2: Convert to fraction form
    99,293.87/148,939.49 = 24,414.66/x
  3. Step 3: Cross multiply
    99,293.87x = 148,939.49 × 24,414.66
  4. Step 4: Simplify right side
    99,293.87x = 3,636,306,886.85
  5. Step 5: Solve for x
    x = 3,636,306,886.85/99,293.87
  6. Step 6: Final answer
    x = 36,621.67

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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.