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Finding the Fourth Proportional to 28,857.38, 43,287.71 and 8,082.50

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Solution

The fourth proportional to 28,857.38, 43,287.71 and 8,082.50 is: 12,124.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,857.38 : 43,287.71 = 8,082.50 : x
  2. Step 2: Convert to fraction form
    28,857.38/43,287.71 = 8,082.50/x
  3. Step 3: Cross multiply
    28,857.38x = 43,287.71 × 8,082.50
  4. Step 4: Simplify right side
    28,857.38x = 349,872,659.22
  5. Step 5: Solve for x
    x = 349,872,659.22/28,857.38
  6. Step 6: Final answer
    x = 12,124.20

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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.