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Finding the Fourth Proportional to 75,885.25, 104,714.16 and 41,891.53

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Solution

The fourth proportional to 75,885.25, 104,714.16 and 41,891.53 is: 57,806.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,885.25 : 104,714.16 = 41,891.53 : x
  2. Step 2: Convert to fraction form
    75,885.25/104,714.16 = 41,891.53/x
  3. Step 3: Cross multiply
    75,885.25x = 104,714.16 × 41,891.53
  4. Step 4: Simplify right side
    75,885.25x = 4,386,636,375.06
  5. Step 5: Solve for x
    x = 4,386,636,375.06/75,885.25
  6. Step 6: Final answer
    x = 57,806.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.