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Finding the Fourth Proportional to 74,761.72, 112,153.78 and 24,143.84

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Solution

The fourth proportional to 74,761.72, 112,153.78 and 24,143.84 is: 36,219.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,761.72 : 112,153.78 = 24,143.84 : x
  2. Step 2: Convert to fraction form
    74,761.72/112,153.78 = 24,143.84/x
  3. Step 3: Cross multiply
    74,761.72x = 112,153.78 × 24,143.84
  4. Step 4: Simplify right side
    74,761.72x = 2,707,822,919.72
  5. Step 5: Solve for x
    x = 2,707,822,919.72/74,761.72
  6. Step 6: Final answer
    x = 36,219.38

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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.