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Finding the Fourth Proportional to 32,843.20, 49,281.28 and 15,314.40

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Solution

The fourth proportional to 32,843.20, 49,281.28 and 15,314.40 is: 22,979.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,843.20 : 49,281.28 = 15,314.40 : x
  2. Step 2: Convert to fraction form
    32,843.20/49,281.28 = 15,314.40/x
  3. Step 3: Cross multiply
    32,843.20x = 49,281.28 × 15,314.40
  4. Step 4: Simplify right side
    32,843.20x = 754,713,234.43
  5. Step 5: Solve for x
    x = 754,713,234.43/32,843.20
  6. Step 6: Final answer
    x = 22,979.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.