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Finding the Fourth Proportional to 62,882.46, 86,798.16 and 40,282.38

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Solution

The fourth proportional to 62,882.46, 86,798.16 and 40,282.38 is: 55,602.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,882.46 : 86,798.16 = 40,282.38 : x
  2. Step 2: Convert to fraction form
    62,882.46/86,798.16 = 40,282.38/x
  3. Step 3: Cross multiply
    62,882.46x = 86,798.16 × 40,282.38
  4. Step 4: Simplify right side
    62,882.46x = 3,496,436,464.42
  5. Step 5: Solve for x
    x = 3,496,436,464.42/62,882.46
  6. Step 6: Final answer
    x = 55,602.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.