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Finding the Fourth Proportional to 40,499.10, 60,769.14 and 27,323.78

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Solution

The fourth proportional to 40,499.10, 60,769.14 and 27,323.78 is: 40,999.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,499.10 : 60,769.14 = 27,323.78 : x
  2. Step 2: Convert to fraction form
    40,499.10/60,769.14 = 27,323.78/x
  3. Step 3: Cross multiply
    40,499.10x = 60,769.14 × 27,323.78
  4. Step 4: Simplify right side
    40,499.10x = 1,660,442,475.53
  5. Step 5: Solve for x
    x = 1,660,442,475.53/40,499.10
  6. Step 6: Final answer
    x = 40,999.50

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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.