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Finding the Fourth Proportional to 49,250.24, 73,874.88 and 12,314.24

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Solution

The fourth proportional to 49,250.24, 73,874.88 and 12,314.24 is: 18,471.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,250.24 : 73,874.88 = 12,314.24 : x
  2. Step 2: Convert to fraction form
    49,250.24/73,874.88 = 12,314.24/x
  3. Step 3: Cross multiply
    49,250.24x = 73,874.88 × 12,314.24
  4. Step 4: Simplify right side
    49,250.24x = 909,713,002.29
  5. Step 5: Solve for x
    x = 909,713,002.29/49,250.24
  6. Step 6: Final answer
    x = 18,471.24

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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.