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Finding the Fourth Proportional to 41,596.42, 57,403.02 and 22,733.50

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Solution

The fourth proportional to 41,596.42, 57,403.02 and 22,733.50 is: 31,372.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,596.42 : 57,403.02 = 22,733.50 : x
  2. Step 2: Convert to fraction form
    41,596.42/57,403.02 = 22,733.50/x
  3. Step 3: Cross multiply
    41,596.42x = 57,403.02 × 22,733.50
  4. Step 4: Simplify right side
    41,596.42x = 1,304,971,555.17
  5. Step 5: Solve for x
    x = 1,304,971,555.17/41,596.42
  6. Step 6: Final answer
    x = 31,372.21

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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.