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Finding the Fourth Proportional to 27,301, 40,951.73 and 7,581.09

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Solution

The fourth proportional to 27,301, 40,951.73 and 7,581.09 is: 11,371.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,301 : 40,951.73 = 7,581.09 : x
  2. Step 2: Convert to fraction form
    27,301/40,951.73 = 7,581.09/x
  3. Step 3: Cross multiply
    27,301x = 40,951.73 × 7,581.09
  4. Step 4: Simplify right side
    27,301x = 310,458,750.79
  5. Step 5: Solve for x
    x = 310,458,750.79/27,301
  6. Step 6: Final answer
    x = 11,371.70

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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.