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Finding the Fourth Proportional to 100,597.10, 150,919.02 and 29,516.87

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Solution

The fourth proportional to 100,597.10, 150,919.02 and 29,516.87 is: 44,282.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,597.10 : 150,919.02 = 29,516.87 : x
  2. Step 2: Convert to fraction form
    100,597.10/150,919.02 = 29,516.87/x
  3. Step 3: Cross multiply
    100,597.10x = 150,919.02 × 29,516.87
  4. Step 4: Simplify right side
    100,597.10x = 4,454,656,339.27
  5. Step 5: Solve for x
    x = 4,454,656,339.27/100,597.10
  6. Step 6: Final answer
    x = 44,282.16

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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.