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Finding the Fourth Proportional to 81,191.42, 112,049.40 and 45,382.94

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Solution

The fourth proportional to 81,191.42, 112,049.40 and 45,382.94 is: 62,631.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,191.42 : 112,049.40 = 45,382.94 : x
  2. Step 2: Convert to fraction form
    81,191.42/112,049.40 = 45,382.94/x
  3. Step 3: Cross multiply
    81,191.42x = 112,049.40 × 45,382.94
  4. Step 4: Simplify right side
    81,191.42x = 5,085,131,197.24
  5. Step 5: Solve for x
    x = 5,085,131,197.24/81,191.42
  6. Step 6: Final answer
    x = 62,631.39

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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.