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Finding the Fourth Proportional to 27,056, 40,584 and 9,523.82

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Solution

The fourth proportional to 27,056, 40,584 and 9,523.82 is: 14,285.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,056 : 40,584 = 9,523.82 : x
  2. Step 2: Convert to fraction form
    27,056/40,584 = 9,523.82/x
  3. Step 3: Cross multiply
    27,056x = 40,584 × 9,523.82
  4. Step 4: Simplify right side
    27,056x = 386,514,710.88
  5. Step 5: Solve for x
    x = 386,514,710.88/27,056
  6. Step 6: Final answer
    x = 14,285.73

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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.