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Finding the Fourth Proportional to 62,454.30, 86,185.18 and 34,159.38

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Solution

The fourth proportional to 62,454.30, 86,185.18 and 34,159.38 is: 47,138.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,454.30 : 86,185.18 = 34,159.38 : x
  2. Step 2: Convert to fraction form
    62,454.30/86,185.18 = 34,159.38/x
  3. Step 3: Cross multiply
    62,454.30x = 86,185.18 × 34,159.38
  4. Step 4: Simplify right side
    62,454.30x = 2,944,032,313.99
  5. Step 5: Solve for x
    x = 2,944,032,313.99/62,454.30
  6. Step 6: Final answer
    x = 47,138.99

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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.