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Finding the Fourth Proportional to 74,531.84, 111,797.84 and 19,127.84

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Solution

The fourth proportional to 74,531.84, 111,797.84 and 19,127.84 is: 28,691.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,531.84 : 111,797.84 = 19,127.84 : x
  2. Step 2: Convert to fraction form
    74,531.84/111,797.84 = 19,127.84/x
  3. Step 3: Cross multiply
    74,531.84x = 111,797.84 × 19,127.84
  4. Step 4: Simplify right side
    74,531.84x = 2,138,451,195.87
  5. Step 5: Solve for x
    x = 2,138,451,195.87/74,531.84
  6. Step 6: Final answer
    x = 28,691.78

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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.