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Finding the Fourth Proportional to 49,988.56, 74,981.22 and 13,052.56

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Solution

The fourth proportional to 49,988.56, 74,981.22 and 13,052.56 is: 19,578.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,988.56 : 74,981.22 = 13,052.56 : x
  2. Step 2: Convert to fraction form
    49,988.56/74,981.22 = 13,052.56/x
  3. Step 3: Cross multiply
    49,988.56x = 74,981.22 × 13,052.56
  4. Step 4: Simplify right side
    49,988.56x = 978,696,872.92
  5. Step 5: Solve for x
    x = 978,696,872.92/49,988.56
  6. Step 6: Final answer
    x = 19,578.42

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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.