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Finding the Fourth Proportional to 99,540.80, 149,311.20 and 47,052.80

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Solution

The fourth proportional to 99,540.80, 149,311.20 and 47,052.80 is: 70,579.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,540.80 : 149,311.20 = 47,052.80 : x
  2. Step 2: Convert to fraction form
    99,540.80/149,311.20 = 47,052.80/x
  3. Step 3: Cross multiply
    99,540.80x = 149,311.20 × 47,052.80
  4. Step 4: Simplify right side
    99,540.80x = 7,025,510,031.36
  5. Step 5: Solve for x
    x = 7,025,510,031.36/99,540.80
  6. Step 6: Final answer
    x = 70,579.20

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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.