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Finding the Fourth Proportional to 20,872.98, 31,309.02 and 5,078.10

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Solution

The fourth proportional to 20,872.98, 31,309.02 and 5,078.10 is: 7,617.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,872.98 : 31,309.02 = 5,078.10 : x
  2. Step 2: Convert to fraction form
    20,872.98/31,309.02 = 5,078.10/x
  3. Step 3: Cross multiply
    20,872.98x = 31,309.02 × 5,078.10
  4. Step 4: Simplify right side
    20,872.98x = 158,990,334.46
  5. Step 5: Solve for x
    x = 158,990,334.46/20,872.98
  6. Step 6: Final answer
    x = 7,617.04

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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.