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Finding the Fourth Proportional to 81,454.13, 112,406.69 and 49,623

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Solution

The fourth proportional to 81,454.13, 112,406.69 and 49,623 is: 68,479.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,454.13 : 112,406.69 = 49,623 : x
  2. Step 2: Convert to fraction form
    81,454.13/112,406.69 = 49,623/x
  3. Step 3: Cross multiply
    81,454.13x = 112,406.69 × 49,623
  4. Step 4: Simplify right side
    81,454.13x = 5,577,957,177.87
  5. Step 5: Solve for x
    x = 5,577,957,177.87/81,454.13
  6. Step 6: Final answer
    x = 68,479.73

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