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Finding the Fourth Proportional to 62,378.31, 86,082.68 and 34,084

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Solution

The fourth proportional to 62,378.31, 86,082.68 and 34,084 is: 47,036.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,378.31 : 86,082.68 = 34,084 : x
  2. Step 2: Convert to fraction form
    62,378.31/86,082.68 = 34,084/x
  3. Step 3: Cross multiply
    62,378.31x = 86,082.68 × 34,084
  4. Step 4: Simplify right side
    62,378.31x = 2,934,042,065.12
  5. Step 5: Solve for x
    x = 2,934,042,065.12/62,378.31
  6. Step 6: Final answer
    x = 47,036.25

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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.