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Finding the Fourth Proportional to 41,182.88, 56,832.57 and 22,320

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Solution

The fourth proportional to 41,182.88, 56,832.57 and 22,320 is: 30,801.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,182.88 : 56,832.57 = 22,320 : x
  2. Step 2: Convert to fraction form
    41,182.88/56,832.57 = 22,320/x
  3. Step 3: Cross multiply
    41,182.88x = 56,832.57 × 22,320
  4. Step 4: Simplify right side
    41,182.88x = 1,268,502,962.40
  5. Step 5: Solve for x
    x = 1,268,502,962.40/41,182.88
  6. Step 6: Final answer
    x = 30,801.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.