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Finding the Fourth Proportional to 83,213.73, 114,828.74 and 47,396.75

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Solution

The fourth proportional to 83,213.73, 114,828.74 and 47,396.75 is: 65,403.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,213.73 : 114,828.74 = 47,396.75 : x
  2. Step 2: Convert to fraction form
    83,213.73/114,828.74 = 47,396.75/x
  3. Step 3: Cross multiply
    83,213.73x = 114,828.74 × 47,396.75
  4. Step 4: Simplify right side
    83,213.73x = 5,442,508,449.21
  5. Step 5: Solve for x
    x = 5,442,508,449.21/83,213.73
  6. Step 6: Final answer
    x = 65,403.97

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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.