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Finding the Fourth Proportional to 81,463.58, 122,214.49 and 25,300.78

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Solution

The fourth proportional to 81,463.58, 122,214.49 and 25,300.78 is: 37,957.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,463.58 : 122,214.49 = 25,300.78 : x
  2. Step 2: Convert to fraction form
    81,463.58/122,214.49 = 25,300.78/x
  3. Step 3: Cross multiply
    81,463.58x = 122,214.49 × 25,300.78
  4. Step 4: Simplify right side
    81,463.58x = 3,092,121,924.30
  5. Step 5: Solve for x
    x = 3,092,121,924.30/81,463.58
  6. Step 6: Final answer
    x = 37,957.11

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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.