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Finding the Fourth Proportional to 75,363.66, 112,987.17 and 33,781.50

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Solution

The fourth proportional to 75,363.66, 112,987.17 and 33,781.50 is: 50,646.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,363.66 : 112,987.17 = 33,781.50 : x
  2. Step 2: Convert to fraction form
    75,363.66/112,987.17 = 33,781.50/x
  3. Step 3: Cross multiply
    75,363.66x = 112,987.17 × 33,781.50
  4. Step 4: Simplify right side
    75,363.66x = 3,816,876,083.36
  5. Step 5: Solve for x
    x = 3,816,876,083.36/75,363.66
  6. Step 6: Final answer
    x = 50,646.11

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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.