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Finding the Fourth Proportional to 83,266.31, 114,907.51 and 45,540.56

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Solution

The fourth proportional to 83,266.31, 114,907.51 and 45,540.56 is: 62,845.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,266.31 : 114,907.51 = 45,540.56 : x
  2. Step 2: Convert to fraction form
    83,266.31/114,907.51 = 45,540.56/x
  3. Step 3: Cross multiply
    83,266.31x = 114,907.51 × 45,540.56
  4. Step 4: Simplify right side
    83,266.31x = 5,232,952,697.80
  5. Step 5: Solve for x
    x = 5,232,952,697.80/83,266.31
  6. Step 6: Final answer
    x = 62,845.98

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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.