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Finding the Fourth Proportional to 80,207.68, 120,323.20 and 24,808

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Solution

The fourth proportional to 80,207.68, 120,323.20 and 24,808 is: 37,215.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,207.68 : 120,323.20 = 24,808 : x
  2. Step 2: Convert to fraction form
    80,207.68/120,323.20 = 24,808/x
  3. Step 3: Cross multiply
    80,207.68x = 120,323.20 × 24,808
  4. Step 4: Simplify right side
    80,207.68x = 2,984,977,945.60
  5. Step 5: Solve for x
    x = 2,984,977,945.60/80,207.68
  6. Step 6: Final answer
    x = 37,215.61

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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.