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Finding the Fourth Proportional to 100,814.81, 151,231.64 and 29,737.52

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Solution

The fourth proportional to 100,814.81, 151,231.64 and 29,737.52 is: 44,609.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,814.81 : 151,231.64 = 29,737.52 : x
  2. Step 2: Convert to fraction form
    100,814.81/151,231.64 = 29,737.52/x
  3. Step 3: Cross multiply
    100,814.81x = 151,231.64 × 29,737.52
  4. Step 4: Simplify right side
    100,814.81x = 4,497,253,014.29
  5. Step 5: Solve for x
    x = 4,497,253,014.29/100,814.81
  6. Step 6: Final answer
    x = 44,609.05

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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.