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Finding the Fourth Proportional to 83,266.13, 114,907.26 and 45,540.38

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Solution

The fourth proportional to 83,266.13, 114,907.26 and 45,540.38 is: 62,845.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,266.13 : 114,907.26 = 45,540.38 : x
  2. Step 2: Convert to fraction form
    83,266.13/114,907.26 = 45,540.38/x
  3. Step 3: Cross multiply
    83,266.13x = 114,907.26 × 45,540.38
  4. Step 4: Simplify right side
    83,266.13x = 5,232,919,710.62
  5. Step 5: Solve for x
    x = 5,232,919,710.62/83,266.13
  6. Step 6: Final answer
    x = 62,845.72

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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.