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Finding the Fourth Proportional to 83,144.38, 114,741.76 and 45,421.06

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Solution

The fourth proportional to 83,144.38, 114,741.76 and 45,421.06 is: 62,682.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,144.38 : 114,741.76 = 45,421.06 : x
  2. Step 2: Convert to fraction form
    83,144.38/114,741.76 = 45,421.06/x
  3. Step 3: Cross multiply
    83,144.38x = 114,741.76 × 45,421.06
  4. Step 4: Simplify right side
    83,144.38x = 5,211,691,791.76
  5. Step 5: Solve for x
    x = 5,211,691,791.76/83,144.38
  6. Step 6: Final answer
    x = 62,682.43

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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.