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Finding the Fourth Proportional to 52,708.50, 79,071 and 22,731.24

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Solution

The fourth proportional to 52,708.50, 79,071 and 22,731.24 is: 34,100.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,708.50 : 79,071 = 22,731.24 : x
  2. Step 2: Convert to fraction form
    52,708.50/79,071 = 22,731.24/x
  3. Step 3: Cross multiply
    52,708.50x = 79,071 × 22,731.24
  4. Step 4: Simplify right side
    52,708.50x = 1,797,381,878.04
  5. Step 5: Solve for x
    x = 1,797,381,878.04/52,708.50
  6. Step 6: Final answer
    x = 34,100.42

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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.