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Finding the Fourth Proportional to 41,543.88, 57,330.75 and 22,681

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Solution

The fourth proportional to 41,543.88, 57,330.75 and 22,681 is: 31,299.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,543.88 : 57,330.75 = 22,681 : x
  2. Step 2: Convert to fraction form
    41,543.88/57,330.75 = 22,681/x
  3. Step 3: Cross multiply
    41,543.88x = 57,330.75 × 22,681
  4. Step 4: Simplify right side
    41,543.88x = 1,300,318,740.75
  5. Step 5: Solve for x
    x = 1,300,318,740.75/41,543.88
  6. Step 6: Final answer
    x = 31,299.89

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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.