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Finding the Fourth Proportional to 99,102.80, 148,672.20 and 32,524.40

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Solution

The fourth proportional to 99,102.80, 148,672.20 and 32,524.40 is: 48,792.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,102.80 : 148,672.20 = 32,524.40 : x
  2. Step 2: Convert to fraction form
    99,102.80/148,672.20 = 32,524.40/x
  3. Step 3: Cross multiply
    99,102.80x = 148,672.20 × 32,524.40
  4. Step 4: Simplify right side
    99,102.80x = 4,835,474,101.68
  5. Step 5: Solve for x
    x = 4,835,474,101.68/99,102.80
  6. Step 6: Final answer
    x = 48,792.51

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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.