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Finding the Fourth Proportional to 32,843.52, 49,270.12 and 12,065.40

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Solution

The fourth proportional to 32,843.52, 49,270.12 and 12,065.40 is: 18,099.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,843.52 : 49,270.12 = 12,065.40 : x
  2. Step 2: Convert to fraction form
    32,843.52/49,270.12 = 12,065.40/x
  3. Step 3: Cross multiply
    32,843.52x = 49,270.12 × 12,065.40
  4. Step 4: Simplify right side
    32,843.52x = 594,463,705.85
  5. Step 5: Solve for x
    x = 594,463,705.85/32,843.52
  6. Step 6: Final answer
    x = 18,099.88

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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.