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Finding the Fourth Proportional to 74,843.30, 112,282.89 and 24,923.82

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Solution

The fourth proportional to 74,843.30, 112,282.89 and 24,923.82 is: 37,391.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,843.30 : 112,282.89 = 24,923.82 : x
  2. Step 2: Convert to fraction form
    74,843.30/112,282.89 = 24,923.82/x
  3. Step 3: Cross multiply
    74,843.30x = 112,282.89 × 24,923.82
  4. Step 4: Simplify right side
    74,843.30x = 2,798,518,539.44
  5. Step 5: Solve for x
    x = 2,798,518,539.44/74,843.30
  6. Step 6: Final answer
    x = 37,391.71

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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.