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Finding the Fourth Proportional to 40,649.80, 56,094.94 and 22,741.44

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Solution

The fourth proportional to 40,649.80, 56,094.94 and 22,741.44 is: 31,382.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,649.80 : 56,094.94 = 22,741.44 : x
  2. Step 2: Convert to fraction form
    40,649.80/56,094.94 = 22,741.44/x
  3. Step 3: Cross multiply
    40,649.80x = 56,094.94 × 22,741.44
  4. Step 4: Simplify right side
    40,649.80x = 1,275,679,712.31
  5. Step 5: Solve for x
    x = 1,275,679,712.31/40,649.80
  6. Step 6: Final answer
    x = 31,382.19

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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.