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Finding the Fourth Proportional to 49,502.72, 74,257.44 and 16,214

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Solution

The fourth proportional to 49,502.72, 74,257.44 and 16,214 is: 24,322.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,502.72 : 74,257.44 = 16,214 : x
  2. Step 2: Convert to fraction form
    49,502.72/74,257.44 = 16,214/x
  3. Step 3: Cross multiply
    49,502.72x = 74,257.44 × 16,214
  4. Step 4: Simplify right side
    49,502.72x = 1,204,010,132.16
  5. Step 5: Solve for x
    x = 1,204,010,132.16/49,502.72
  6. Step 6: Final answer
    x = 24,322.10

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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.