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Finding the Fourth Proportional to 99,484.36, 149,221.68 and 37,150

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Solution

The fourth proportional to 99,484.36, 149,221.68 and 37,150 is: 55,723.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,484.36 : 149,221.68 = 37,150 : x
  2. Step 2: Convert to fraction form
    99,484.36/149,221.68 = 37,150/x
  3. Step 3: Cross multiply
    99,484.36x = 149,221.68 × 37,150
  4. Step 4: Simplify right side
    99,484.36x = 5,543,585,412
  5. Step 5: Solve for x
    x = 5,543,585,412/99,484.36
  6. Step 6: Final answer
    x = 55,723.19

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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.