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Finding the Fourth Proportional to 75,119.78, 103,664.40 and 41,585.78

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Solution

The fourth proportional to 75,119.78, 103,664.40 and 41,585.78 is: 57,387.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,119.78 : 103,664.40 = 41,585.78 : x
  2. Step 2: Convert to fraction form
    75,119.78/103,664.40 = 41,585.78/x
  3. Step 3: Cross multiply
    75,119.78x = 103,664.40 × 41,585.78
  4. Step 4: Simplify right side
    75,119.78x = 4,310,964,932.23
  5. Step 5: Solve for x
    x = 4,310,964,932.23/75,119.78
  6. Step 6: Final answer
    x = 57,387.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.