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Finding the Fourth Proportional to 76,882, 106,097.16 and 41,554

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Solution

The fourth proportional to 76,882, 106,097.16 and 41,554 is: 57,344.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,882 : 106,097.16 = 41,554 : x
  2. Step 2: Convert to fraction form
    76,882/106,097.16 = 41,554/x
  3. Step 3: Cross multiply
    76,882x = 106,097.16 × 41,554
  4. Step 4: Simplify right side
    76,882x = 4,408,761,386.64
  5. Step 5: Solve for x
    x = 4,408,761,386.64/76,882
  6. Step 6: Final answer
    x = 57,344.52

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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.