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Finding the Fourth Proportional to 83,169.48, 114,733.87 and 54,476.72

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Solution

The fourth proportional to 83,169.48, 114,733.87 and 54,476.72 is: 75,151.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,169.48 : 114,733.87 = 54,476.72 : x
  2. Step 2: Convert to fraction form
    83,169.48/114,733.87 = 54,476.72/x
  3. Step 3: Cross multiply
    83,169.48x = 114,733.87 × 54,476.72
  4. Step 4: Simplify right side
    83,169.48x = 6,250,324,630.90
  5. Step 5: Solve for x
    x = 6,250,324,630.90/83,169.48
  6. Step 6: Final answer
    x = 75,151.67

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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.