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Finding the Fourth Proportional to 34,382.80, 51,583.80 and 16,853.20

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Solution

The fourth proportional to 34,382.80, 51,583.80 and 16,853.20 is: 25,284.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,382.80 : 51,583.80 = 16,853.20 : x
  2. Step 2: Convert to fraction form
    34,382.80/51,583.80 = 16,853.20/x
  3. Step 3: Cross multiply
    34,382.80x = 51,583.80 × 16,853.20
  4. Step 4: Simplify right side
    34,382.80x = 869,352,098.16
  5. Step 5: Solve for x
    x = 869,352,098.16/34,382.80
  6. Step 6: Final answer
    x = 25,284.51

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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.