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Finding the Fourth Proportional to 27,735.30, 41,619.42 and 10,217.42

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Solution

The fourth proportional to 27,735.30, 41,619.42 and 10,217.42 is: 15,332.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,735.30 : 41,619.42 = 10,217.42 : x
  2. Step 2: Convert to fraction form
    27,735.30/41,619.42 = 10,217.42/x
  3. Step 3: Cross multiply
    27,735.30x = 41,619.42 × 10,217.42
  4. Step 4: Simplify right side
    27,735.30x = 425,243,094.30
  5. Step 5: Solve for x
    x = 425,243,094.30/27,735.30
  6. Step 6: Final answer
    x = 15,332.20

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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.