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Finding the Fourth Proportional to 29,164.88, 40,231.80 and 24,099.14

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Solution

The fourth proportional to 29,164.88, 40,231.80 and 24,099.14 is: 33,243.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,164.88 : 40,231.80 = 24,099.14 : x
  2. Step 2: Convert to fraction form
    29,164.88/40,231.80 = 24,099.14/x
  3. Step 3: Cross multiply
    29,164.88x = 40,231.80 × 24,099.14
  4. Step 4: Simplify right side
    29,164.88x = 969,551,780.65
  5. Step 5: Solve for x
    x = 969,551,780.65/29,164.88
  6. Step 6: Final answer
    x = 33,243.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.