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Finding the Fourth Proportional to 82,885.78, 114,382.38 and 45,160.03

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Solution

The fourth proportional to 82,885.78, 114,382.38 and 45,160.03 is: 62,320.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,885.78 : 114,382.38 = 45,160.03 : x
  2. Step 2: Convert to fraction form
    82,885.78/114,382.38 = 45,160.03/x
  3. Step 3: Cross multiply
    82,885.78x = 114,382.38 × 45,160.03
  4. Step 4: Simplify right side
    82,885.78x = 5,165,511,770.57
  5. Step 5: Solve for x
    x = 5,165,511,770.57/82,885.78
  6. Step 6: Final answer
    x = 62,320.84

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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.