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Finding the Fourth Proportional to 73,654.88, 101,644.92 and 41,824.64

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Solution

The fourth proportional to 73,654.88, 101,644.92 and 41,824.64 is: 57,718.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,654.88 : 101,644.92 = 41,824.64 : x
  2. Step 2: Convert to fraction form
    73,654.88/101,644.92 = 41,824.64/x
  3. Step 3: Cross multiply
    73,654.88x = 101,644.92 × 41,824.64
  4. Step 4: Simplify right side
    73,654.88x = 4,251,262,186.83
  5. Step 5: Solve for x
    x = 4,251,262,186.83/73,654.88
  6. Step 6: Final answer
    x = 57,718.68

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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.