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Finding the Fourth Proportional to 41,740.28, 57,602.04 and 22,877

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Solution

The fourth proportional to 41,740.28, 57,602.04 and 22,877 is: 31,570.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,740.28 : 57,602.04 = 22,877 : x
  2. Step 2: Convert to fraction form
    41,740.28/57,602.04 = 22,877/x
  3. Step 3: Cross multiply
    41,740.28x = 57,602.04 × 22,877
  4. Step 4: Simplify right side
    41,740.28x = 1,317,761,869.08
  5. Step 5: Solve for x
    x = 1,317,761,869.08/41,740.28
  6. Step 6: Final answer
    x = 31,570.51

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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.