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Finding the Fourth Proportional to 99,659.84, 149,489.42 and 24,779.52

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Solution

The fourth proportional to 99,659.84, 149,489.42 and 24,779.52 is: 37,169.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,659.84 : 149,489.42 = 24,779.52 : x
  2. Step 2: Convert to fraction form
    99,659.84/149,489.42 = 24,779.52/x
  3. Step 3: Cross multiply
    99,659.84x = 149,489.42 × 24,779.52
  4. Step 4: Simplify right side
    99,659.84x = 3,704,275,948.78
  5. Step 5: Solve for x
    x = 3,704,275,948.78/99,659.84
  6. Step 6: Final answer
    x = 37,169.20

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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.