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Finding the Fourth Proportional to 82,067.57, 123,055.19 and 25,897.21

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Solution

The fourth proportional to 82,067.57, 123,055.19 and 25,897.21 is: 38,831.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,067.57 : 123,055.19 = 25,897.21 : x
  2. Step 2: Convert to fraction form
    82,067.57/123,055.19 = 25,897.21/x
  3. Step 3: Cross multiply
    82,067.57x = 123,055.19 × 25,897.21
  4. Step 4: Simplify right side
    82,067.57x = 3,186,786,097.02
  5. Step 5: Solve for x
    x = 3,186,786,097.02/82,067.57
  6. Step 6: Final answer
    x = 38,831.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.