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Finding the Fourth Proportional to 34,968.80, 48,257.16 and 20,822.24

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Solution

The fourth proportional to 34,968.80, 48,257.16 and 20,822.24 is: 28,734.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,968.80 : 48,257.16 = 20,822.24 : x
  2. Step 2: Convert to fraction form
    34,968.80/48,257.16 = 20,822.24/x
  3. Step 3: Cross multiply
    34,968.80x = 48,257.16 × 20,822.24
  4. Step 4: Simplify right side
    34,968.80x = 1,004,822,167.24
  5. Step 5: Solve for x
    x = 1,004,822,167.24/34,968.80
  6. Step 6: Final answer
    x = 28,734.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.