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Finding the Fourth Proportional to 27,951.82, 41,931.98 and 9,233.83

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Solution

The fourth proportional to 27,951.82, 41,931.98 and 9,233.83 is: 13,852.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,951.82 : 41,931.98 = 9,233.83 : x
  2. Step 2: Convert to fraction form
    27,951.82/41,931.98 = 9,233.83/x
  3. Step 3: Cross multiply
    27,951.82x = 41,931.98 × 9,233.83
  4. Step 4: Simplify right side
    27,951.82x = 387,192,728.71
  5. Step 5: Solve for x
    x = 387,192,728.71/27,951.82
  6. Step 6: Final answer
    x = 13,852.15

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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.