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Finding the Fourth Proportional to 82,613.97, 114,054.48 and 54,401.67

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Solution

The fourth proportional to 82,613.97, 114,054.48 and 54,401.67 is: 75,105.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,613.97 : 114,054.48 = 54,401.67 : x
  2. Step 2: Convert to fraction form
    82,613.97/114,054.48 = 54,401.67/x
  3. Step 3: Cross multiply
    82,613.97x = 114,054.48 × 54,401.67
  4. Step 4: Simplify right side
    82,613.97x = 6,204,754,182.98
  5. Step 5: Solve for x
    x = 6,204,754,182.98/82,613.97
  6. Step 6: Final answer
    x = 75,105.39

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1.5x scale

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.