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Finding the Fourth Proportional to 54,524.88, 81,798.84 and 17,586

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Solution

The fourth proportional to 54,524.88, 81,798.84 and 17,586 is: 26,382.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,524.88 : 81,798.84 = 17,586 : x
  2. Step 2: Convert to fraction form
    54,524.88/81,798.84 = 17,586/x
  3. Step 3: Cross multiply
    54,524.88x = 81,798.84 × 17,586
  4. Step 4: Simplify right side
    54,524.88x = 1,438,514,400.24
  5. Step 5: Solve for x
    x = 1,438,514,400.24/54,524.88
  6. Step 6: Final answer
    x = 26,382.72

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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.