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Finding the Fourth Proportional to 83,144.76, 114,734.40 and 45,418.98

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Solution

The fourth proportional to 83,144.76, 114,734.40 and 45,418.98 is: 62,675.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,144.76 : 114,734.40 = 45,418.98 : x
  2. Step 2: Convert to fraction form
    83,144.76/114,734.40 = 45,418.98/x
  3. Step 3: Cross multiply
    83,144.76x = 114,734.40 × 45,418.98
  4. Step 4: Simplify right side
    83,144.76x = 5,211,119,418.91
  5. Step 5: Solve for x
    x = 5,211,119,418.91/83,144.76
  6. Step 6: Final answer
    x = 62,675.26

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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.