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Finding the Fourth Proportional to 52,863.38, 72,952.02 and 30,205.34

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Solution

The fourth proportional to 52,863.38, 72,952.02 and 30,205.34 is: 41,683.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,863.38 : 72,952.02 = 30,205.34 : x
  2. Step 2: Convert to fraction form
    52,863.38/72,952.02 = 30,205.34/x
  3. Step 3: Cross multiply
    52,863.38x = 72,952.02 × 30,205.34
  4. Step 4: Simplify right side
    52,863.38x = 2,203,540,567.79
  5. Step 5: Solve for x
    x = 2,203,540,567.79/52,863.38
  6. Step 6: Final answer
    x = 41,683.69

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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.