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Finding the Fourth Proportional to 82,867, 114,356.48 and 45,141.24

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Solution

The fourth proportional to 82,867, 114,356.48 and 45,141.24 is: 62,294.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,867 : 114,356.48 = 45,141.24 : x
  2. Step 2: Convert to fraction form
    82,867/114,356.48 = 45,141.24/x
  3. Step 3: Cross multiply
    82,867x = 114,356.48 × 45,141.24
  4. Step 4: Simplify right side
    82,867x = 5,162,193,309.24
  5. Step 5: Solve for x
    x = 5,162,193,309.24/82,867
  6. Step 6: Final answer
    x = 62,294.92

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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.