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Finding the Fourth Proportional to 99,563.60, 149,290.03 and 32,967.40

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Solution

The fourth proportional to 99,563.60, 149,290.03 and 32,967.40 is: 49,432.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,563.60 : 149,290.03 = 32,967.40 : x
  2. Step 2: Convert to fraction form
    99,563.60/149,290.03 = 32,967.40/x
  3. Step 3: Cross multiply
    99,563.60x = 149,290.03 × 32,967.40
  4. Step 4: Simplify right side
    99,563.60x = 4,921,704,175.65
  5. Step 5: Solve for x
    x = 4,921,704,175.65/99,563.60
  6. Step 6: Final answer
    x = 49,432.77

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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.