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Finding the Fourth Proportional to 99,709.20, 149,563.80 and 36,529.20

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Solution

The fourth proportional to 99,709.20, 149,563.80 and 36,529.20 is: 54,793.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,709.20 : 149,563.80 = 36,529.20 : x
  2. Step 2: Convert to fraction form
    99,709.20/149,563.80 = 36,529.20/x
  3. Step 3: Cross multiply
    99,709.20x = 149,563.80 × 36,529.20
  4. Step 4: Simplify right side
    99,709.20x = 5,463,445,962.96
  5. Step 5: Solve for x
    x = 5,463,445,962.96/99,709.20
  6. Step 6: Final answer
    x = 54,793.80

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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.