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Finding the Fourth Proportional to 99,375.20, 149,023.20 and 32,796.80

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Solution

The fourth proportional to 99,375.20, 149,023.20 and 32,796.80 is: 49,182.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,375.20 : 149,023.20 = 32,796.80 : x
  2. Step 2: Convert to fraction form
    99,375.20/149,023.20 = 32,796.80/x
  3. Step 3: Cross multiply
    99,375.20x = 149,023.20 × 32,796.80
  4. Step 4: Simplify right side
    99,375.20x = 4,887,484,085.76
  5. Step 5: Solve for x
    x = 4,887,484,085.76/99,375.20
  6. Step 6: Final answer
    x = 49,182.13

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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.