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Finding the Fourth Proportional to 83,253.68, 114,855.24 and 54,580.22

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Solution

The fourth proportional to 83,253.68, 114,855.24 and 54,580.22 is: 75,297.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,253.68 : 114,855.24 = 54,580.22 : x
  2. Step 2: Convert to fraction form
    83,253.68/114,855.24 = 54,580.22/x
  3. Step 3: Cross multiply
    83,253.68x = 114,855.24 × 54,580.22
  4. Step 4: Simplify right side
    83,253.68x = 6,268,824,267.35
  5. Step 5: Solve for x
    x = 6,268,824,267.35/83,253.68
  6. Step 6: Final answer
    x = 75,297.86

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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.