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Finding the Fourth Proportional to 41,783.96, 57,666 and 23,881.53

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Solution

The fourth proportional to 41,783.96, 57,666 and 23,881.53 is: 32,958.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,783.96 : 57,666 = 23,881.53 : x
  2. Step 2: Convert to fraction form
    41,783.96/57,666 = 23,881.53/x
  3. Step 3: Cross multiply
    41,783.96x = 57,666 × 23,881.53
  4. Step 4: Simplify right side
    41,783.96x = 1,377,152,308.98
  5. Step 5: Solve for x
    x = 1,377,152,308.98/41,783.96
  6. Step 6: Final answer
    x = 32,958.88

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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.