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Finding the Fourth Proportional to 27,054, 40,581 and 9,521.82

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Solution

The fourth proportional to 27,054, 40,581 and 9,521.82 is: 14,282.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,054 : 40,581 = 9,521.82 : x
  2. Step 2: Convert to fraction form
    27,054/40,581 = 9,521.82/x
  3. Step 3: Cross multiply
    27,054x = 40,581 × 9,521.82
  4. Step 4: Simplify right side
    27,054x = 386,404,977.42
  5. Step 5: Solve for x
    x = 386,404,977.42/27,054
  6. Step 6: Final answer
    x = 14,282.73

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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.