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Finding the Fourth Proportional to 49,452.75, 74,178.07 and 12,013

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Solution

The fourth proportional to 49,452.75, 74,178.07 and 12,013 is: 18,019.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,452.75 : 74,178.07 = 12,013 : x
  2. Step 2: Convert to fraction form
    49,452.75/74,178.07 = 12,013/x
  3. Step 3: Cross multiply
    49,452.75x = 74,178.07 × 12,013
  4. Step 4: Simplify right side
    49,452.75x = 891,101,154.91
  5. Step 5: Solve for x
    x = 891,101,154.91/49,452.75
  6. Step 6: Final answer
    x = 18,019.24

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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.