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Finding the Fourth Proportional to 99,311.79, 148,972.22 and 32,757.72

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Solution

The fourth proportional to 99,311.79, 148,972.22 and 32,757.72 is: 49,138.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,311.79 : 148,972.22 = 32,757.72 : x
  2. Step 2: Convert to fraction form
    99,311.79/148,972.22 = 32,757.72/x
  3. Step 3: Cross multiply
    99,311.79x = 148,972.22 × 32,757.72
  4. Step 4: Simplify right side
    99,311.79x = 4,879,990,106.75
  5. Step 5: Solve for x
    x = 4,879,990,106.75/99,311.79
  6. Step 6: Final answer
    x = 49,138.07

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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.