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Finding the Fourth Proportional to 49,863.68, 74,780.16 and 17,024

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Solution

The fourth proportional to 49,863.68, 74,780.16 and 17,024 is: 25,530.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,863.68 : 74,780.16 = 17,024 : x
  2. Step 2: Convert to fraction form
    49,863.68/74,780.16 = 17,024/x
  3. Step 3: Cross multiply
    49,863.68x = 74,780.16 × 17,024
  4. Step 4: Simplify right side
    49,863.68x = 1,273,057,443.84
  5. Step 5: Solve for x
    x = 1,273,057,443.84/49,863.68
  6. Step 6: Final answer
    x = 25,530.76

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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.