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Finding the Fourth Proportional to 99,793.24, 137,713.43 and 54,471.51

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Solution

The fourth proportional to 99,793.24, 137,713.43 and 54,471.51 is: 75,170.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,793.24 : 137,713.43 = 54,471.51 : x
  2. Step 2: Convert to fraction form
    99,793.24/137,713.43 = 54,471.51/x
  3. Step 3: Cross multiply
    99,793.24x = 137,713.43 × 54,471.51
  4. Step 4: Simplify right side
    99,793.24x = 7,501,458,615.56
  5. Step 5: Solve for x
    x = 7,501,458,615.56/99,793.24
  6. Step 6: Final answer
    x = 75,170.01

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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.