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Finding the Fourth Proportional to 83,191.22, 114,806.72 and 45,467.90

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Solution

The fourth proportional to 83,191.22, 114,806.72 and 45,467.90 is: 62,747.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,191.22 : 114,806.72 = 45,467.90 : x
  2. Step 2: Convert to fraction form
    83,191.22/114,806.72 = 45,467.90/x
  3. Step 3: Cross multiply
    83,191.22x = 114,806.72 × 45,467.90
  4. Step 4: Simplify right side
    83,191.22x = 5,220,020,178.69
  5. Step 5: Solve for x
    x = 5,220,020,178.69/83,191.22
  6. Step 6: Final answer
    x = 62,747.25

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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.