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Finding the Fourth Proportional to 40,728.42, 56,205.90 and 22,827.42

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Solution

The fourth proportional to 40,728.42, 56,205.90 and 22,827.42 is: 31,502.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,728.42 : 56,205.90 = 22,827.42 : x
  2. Step 2: Convert to fraction form
    40,728.42/56,205.90 = 22,827.42/x
  3. Step 3: Cross multiply
    40,728.42x = 56,205.90 × 22,827.42
  4. Step 4: Simplify right side
    40,728.42x = 1,283,035,685.78
  5. Step 5: Solve for x
    x = 1,283,035,685.78/40,728.42
  6. Step 6: Final answer
    x = 31,502.22

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