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Finding the Fourth Proportional to 81,423.80, 122,141.64 and 25,256.80

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Solution

The fourth proportional to 81,423.80, 122,141.64 and 25,256.80 is: 37,887.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,423.80 : 122,141.64 = 25,256.80 : x
  2. Step 2: Convert to fraction form
    81,423.80/122,141.64 = 25,256.80/x
  3. Step 3: Cross multiply
    81,423.80x = 122,141.64 × 25,256.80
  4. Step 4: Simplify right side
    81,423.80x = 3,084,906,973.15
  5. Step 5: Solve for x
    x = 3,084,906,973.15/81,423.80
  6. Step 6: Final answer
    x = 37,887.04

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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.