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Finding the Fourth Proportional to 81,411.70, 122,134.98 and 25,250.59

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Solution

The fourth proportional to 81,411.70, 122,134.98 and 25,250.59 is: 37,881.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,411.70 : 122,134.98 = 25,250.59 : x
  2. Step 2: Convert to fraction form
    81,411.70/122,134.98 = 25,250.59/x
  3. Step 3: Cross multiply
    81,411.70x = 122,134.98 × 25,250.59
  4. Step 4: Simplify right side
    81,411.70x = 3,083,980,304.64
  5. Step 5: Solve for x
    x = 3,083,980,304.64/81,411.70
  6. Step 6: Final answer
    x = 37,881.29

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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.