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Finding the Fourth Proportional to 52,878.20, 79,211.52 and 31,806.61

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Solution

The fourth proportional to 52,878.20, 79,211.52 and 31,806.61 is: 47,646.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,878.20 : 79,211.52 = 31,806.61 : x
  2. Step 2: Convert to fraction form
    52,878.20/79,211.52 = 31,806.61/x
  3. Step 3: Cross multiply
    52,878.20x = 79,211.52 × 31,806.61
  4. Step 4: Simplify right side
    52,878.20x = 2,519,449,726.12
  5. Step 5: Solve for x
    x = 2,519,449,726.12/52,878.20
  6. Step 6: Final answer
    x = 47,646.29

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