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Finding the Fourth Proportional to 74,016.64, 102,141.76 and 40,481.92

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Solution

The fourth proportional to 74,016.64, 102,141.76 and 40,481.92 is: 55,864.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,016.64 : 102,141.76 = 40,481.92 : x
  2. Step 2: Convert to fraction form
    74,016.64/102,141.76 = 40,481.92/x
  3. Step 3: Cross multiply
    74,016.64x = 102,141.76 × 40,481.92
  4. Step 4: Simplify right side
    74,016.64x = 4,134,894,556.98
  5. Step 5: Solve for x
    x = 4,134,894,556.98/74,016.64
  6. Step 6: Final answer
    x = 55,864.39

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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.