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Finding the Fourth Proportional to 99,379.87, 149,084.58 and 32,827.03

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Solution

The fourth proportional to 99,379.87, 149,084.58 and 32,827.03 is: 49,245.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,379.87 : 149,084.58 = 32,827.03 : x
  2. Step 2: Convert to fraction form
    99,379.87/149,084.58 = 32,827.03/x
  3. Step 3: Cross multiply
    99,379.87x = 149,084.58 × 32,827.03
  4. Step 4: Simplify right side
    99,379.87x = 4,894,003,980.20
  5. Step 5: Solve for x
    x = 4,894,003,980.20/99,379.87
  6. Step 6: Final answer
    x = 49,245.43

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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.