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Finding the Fourth Proportional to 182,997.52, 274,465.13 and 49,846.64

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Solution

The fourth proportional to 182,997.52, 274,465.13 and 49,846.64 is: 74,761.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,997.52 : 274,465.13 = 49,846.64 : x
  2. Step 2: Convert to fraction form
    182,997.52/274,465.13 = 49,846.64/x
  3. Step 3: Cross multiply
    182,997.52x = 274,465.13 × 49,846.64
  4. Step 4: Simplify right side
    182,997.52x = 13,681,163,279.95
  5. Step 5: Solve for x
    x = 13,681,163,279.95/182,997.52
  6. Step 6: Final answer
    x = 74,761.47

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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.