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Finding the Fourth Proportional to 99,432.36, 149,143.68 and 37,098

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Solution

The fourth proportional to 99,432.36, 149,143.68 and 37,098 is: 55,645.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,432.36 : 149,143.68 = 37,098 : x
  2. Step 2: Convert to fraction form
    99,432.36/149,143.68 = 37,098/x
  3. Step 3: Cross multiply
    99,432.36x = 149,143.68 × 37,098
  4. Step 4: Simplify right side
    99,432.36x = 5,532,932,240.64
  5. Step 5: Solve for x
    x = 5,532,932,240.64/99,432.36
  6. Step 6: Final answer
    x = 55,645.19

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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.