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Finding the Fourth Proportional to 52,382.92, 72,290.28 and 29,722

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Solution

The fourth proportional to 52,382.92, 72,290.28 and 29,722 is: 41,017.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,382.92 : 72,290.28 = 29,722 : x
  2. Step 2: Convert to fraction form
    52,382.92/72,290.28 = 29,722/x
  3. Step 3: Cross multiply
    52,382.92x = 72,290.28 × 29,722
  4. Step 4: Simplify right side
    52,382.92x = 2,148,611,702.16
  5. Step 5: Solve for x
    x = 2,148,611,702.16/52,382.92
  6. Step 6: Final answer
    x = 41,017.41

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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.