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Finding the Fourth Proportional to 82,282.46, 113,549.70 and 44,556.70

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Solution

The fourth proportional to 82,282.46, 113,549.70 and 44,556.70 is: 61,488.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,282.46 : 113,549.70 = 44,556.70 : x
  2. Step 2: Convert to fraction form
    82,282.46/113,549.70 = 44,556.70/x
  3. Step 3: Cross multiply
    82,282.46x = 113,549.70 × 44,556.70
  4. Step 4: Simplify right side
    82,282.46x = 5,059,399,917.99
  5. Step 5: Solve for x
    x = 5,059,399,917.99/82,282.46
  6. Step 6: Final answer
    x = 61,488.19

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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.