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Finding the Fourth Proportional to 75,063.52, 103,538.82 and 48,163.42

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Solution

The fourth proportional to 75,063.52, 103,538.82 and 48,163.42 is: 66,434.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,063.52 : 103,538.82 = 48,163.42 : x
  2. Step 2: Convert to fraction form
    75,063.52/103,538.82 = 48,163.42/x
  3. Step 3: Cross multiply
    75,063.52x = 103,538.82 × 48,163.42
  4. Step 4: Simplify right side
    75,063.52x = 4,986,783,673.96
  5. Step 5: Solve for x
    x = 4,986,783,673.96/75,063.52
  6. Step 6: Final answer
    x = 66,434.18

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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.