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Finding the Fourth Proportional to 51,402.97, 76,891.22 and 48,253.69

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Solution

The fourth proportional to 51,402.97, 76,891.22 and 48,253.69 is: 72,180.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,402.97 : 76,891.22 = 48,253.69 : x
  2. Step 2: Convert to fraction form
    51,402.97/76,891.22 = 48,253.69/x
  3. Step 3: Cross multiply
    51,402.97x = 76,891.22 × 48,253.69
  4. Step 4: Simplify right side
    51,402.97x = 3,710,284,660.11
  5. Step 5: Solve for x
    x = 3,710,284,660.11/51,402.97
  6. Step 6: Final answer
    x = 72,180.36

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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.