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Finding the Fourth Proportional to 41,047.16, 56,645.34 and 22,184.24

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Solution

The fourth proportional to 41,047.16, 56,645.34 and 22,184.24 is: 30,614.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,047.16 : 56,645.34 = 22,184.24 : x
  2. Step 2: Convert to fraction form
    41,047.16/56,645.34 = 22,184.24/x
  3. Step 3: Cross multiply
    41,047.16x = 56,645.34 × 22,184.24
  4. Step 4: Simplify right side
    41,047.16x = 1,256,633,817.44
  5. Step 5: Solve for x
    x = 1,256,633,817.44/41,047.16
  6. Step 6: Final answer
    x = 30,614.39

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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.