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Finding the Fourth Proportional to 75,424.98, 112,965.21 and 36,009.90

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Solution

The fourth proportional to 75,424.98, 112,965.21 and 36,009.90 is: 53,932.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,424.98 : 112,965.21 = 36,009.90 : x
  2. Step 2: Convert to fraction form
    75,424.98/112,965.21 = 36,009.90/x
  3. Step 3: Cross multiply
    75,424.98x = 112,965.21 × 36,009.90
  4. Step 4: Simplify right side
    75,424.98x = 4,067,865,915.58
  5. Step 5: Solve for x
    x = 4,067,865,915.58/75,424.98
  6. Step 6: Final answer
    x = 53,932.61

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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.