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Finding the Fourth Proportional to 87,653.76, 120,932.64 and 49,901.28

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Solution

The fourth proportional to 87,653.76, 120,932.64 and 49,901.28 is: 68,846.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,653.76 : 120,932.64 = 49,901.28 : x
  2. Step 2: Convert to fraction form
    87,653.76/120,932.64 = 49,901.28/x
  3. Step 3: Cross multiply
    87,653.76x = 120,932.64 × 49,901.28
  4. Step 4: Simplify right side
    87,653.76x = 6,034,693,529.78
  5. Step 5: Solve for x
    x = 6,034,693,529.78/87,653.76
  6. Step 6: Final answer
    x = 68,846.94

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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.