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Finding the Fourth Proportional to 27,715, 41,547.12 and 10,171.48

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Solution

The fourth proportional to 27,715, 41,547.12 and 10,171.48 is: 15,247.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,715 : 41,547.12 = 10,171.48 : x
  2. Step 2: Convert to fraction form
    27,715/41,547.12 = 10,171.48/x
  3. Step 3: Cross multiply
    27,715x = 41,547.12 × 10,171.48
  4. Step 4: Simplify right side
    27,715x = 422,595,700.14
  5. Step 5: Solve for x
    x = 422,595,700.14/27,715
  6. Step 6: Final answer
    x = 15,247.91

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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.