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Finding the Fourth Proportional to 53,493.68, 80,218.52 and 16,040.56

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Solution

The fourth proportional to 53,493.68, 80,218.52 and 16,040.56 is: 24,054.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,493.68 : 80,218.52 = 16,040.56 : x
  2. Step 2: Convert to fraction form
    53,493.68/80,218.52 = 16,040.56/x
  3. Step 3: Cross multiply
    53,493.68x = 80,218.52 × 16,040.56
  4. Step 4: Simplify right side
    53,493.68x = 1,286,749,983.17
  5. Step 5: Solve for x
    x = 1,286,749,983.17/53,493.68
  6. Step 6: Final answer
    x = 24,054.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.