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Finding the Fourth Proportional to 99,839.70, 149,686.65 and 40,644.90

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Solution

The fourth proportional to 99,839.70, 149,686.65 and 40,644.90 is: 60,937.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,839.70 : 149,686.65 = 40,644.90 : x
  2. Step 2: Convert to fraction form
    99,839.70/149,686.65 = 40,644.90/x
  3. Step 3: Cross multiply
    99,839.70x = 149,686.65 × 40,644.90
  4. Step 4: Simplify right side
    99,839.70x = 6,083,998,920.59
  5. Step 5: Solve for x
    x = 6,083,998,920.59/99,839.70
  6. Step 6: Final answer
    x = 60,937.67

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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.