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Finding the Fourth Proportional to 81,422.70, 122,151.49 and 25,261.60

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Solution

The fourth proportional to 81,422.70, 122,151.49 and 25,261.60 is: 37,897.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,422.70 : 122,151.49 = 25,261.60 : x
  2. Step 2: Convert to fraction form
    81,422.70/122,151.49 = 25,261.60/x
  3. Step 3: Cross multiply
    81,422.70x = 122,151.49 × 25,261.60
  4. Step 4: Simplify right side
    81,422.70x = 3,085,742,079.78
  5. Step 5: Solve for x
    x = 3,085,742,079.78/81,422.70
  6. Step 6: Final answer
    x = 37,897.81

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Why These Related Problems?

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