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Finding the Fourth Proportional to 73,177.92, 109,689.84 and 41,548.32

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Solution

The fourth proportional to 73,177.92, 109,689.84 and 41,548.32 is: 62,278.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,177.92 : 109,689.84 = 41,548.32 : x
  2. Step 2: Convert to fraction form
    73,177.92/109,689.84 = 41,548.32/x
  3. Step 3: Cross multiply
    73,177.92x = 109,689.84 × 41,548.32
  4. Step 4: Simplify right side
    73,177.92x = 4,557,428,573.07
  5. Step 5: Solve for x
    x = 4,557,428,573.07/73,177.92
  6. Step 6: Final answer
    x = 62,278.74

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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.