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Finding the Fourth Proportional to 75,175.65, 112,763.34 and 33,045.66

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Solution

The fourth proportional to 75,175.65, 112,763.34 and 33,045.66 is: 49,568.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,175.65 : 112,763.34 = 33,045.66 : x
  2. Step 2: Convert to fraction form
    75,175.65/112,763.34 = 33,045.66/x
  3. Step 3: Cross multiply
    75,175.65x = 112,763.34 × 33,045.66
  4. Step 4: Simplify right side
    75,175.65x = 3,726,338,994.10
  5. Step 5: Solve for x
    x = 3,726,338,994.10/75,175.65
  6. Step 6: Final answer
    x = 49,568.43

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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.