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Finding the Fourth Proportional to 83,227.50, 114,904.80 and 54,183.42

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Solution

The fourth proportional to 83,227.50, 114,904.80 and 54,183.42 is: 74,806.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,227.50 : 114,904.80 = 54,183.42 : x
  2. Step 2: Convert to fraction form
    83,227.50/114,904.80 = 54,183.42/x
  3. Step 3: Cross multiply
    83,227.50x = 114,904.80 × 54,183.42
  4. Step 4: Simplify right side
    83,227.50x = 6,225,935,038.42
  5. Step 5: Solve for x
    x = 6,225,935,038.42/83,227.50
  6. Step 6: Final answer
    x = 74,806.22

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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.