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Finding the Fourth Proportional to 99,475.68, 149,213.50 and 32,897.92

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Solution

The fourth proportional to 99,475.68, 149,213.50 and 32,897.92 is: 49,346.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,475.68 : 149,213.50 = 32,897.92 : x
  2. Step 2: Convert to fraction form
    99,475.68/149,213.50 = 32,897.92/x
  3. Step 3: Cross multiply
    99,475.68x = 149,213.50 × 32,897.92
  4. Step 4: Simplify right side
    99,475.68x = 4,908,813,785.92
  5. Step 5: Solve for x
    x = 4,908,813,785.92/99,475.68
  6. Step 6: Final answer
    x = 49,346.87

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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.