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Finding the Fourth Proportional to 83,568.29, 115,281.29 and 54,883.83

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Solution

The fourth proportional to 83,568.29, 115,281.29 and 54,883.83 is: 75,711.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,568.29 : 115,281.29 = 54,883.83 : x
  2. Step 2: Convert to fraction form
    83,568.29/115,281.29 = 54,883.83/x
  3. Step 3: Cross multiply
    83,568.29x = 115,281.29 × 54,883.83
  4. Step 4: Simplify right side
    83,568.29x = 6,327,078,448.12
  5. Step 5: Solve for x
    x = 6,327,078,448.12/83,568.29
  6. Step 6: Final answer
    x = 75,711.48

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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.