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Finding the Fourth Proportional to 41,741.92, 57,602.10 and 22,877.83

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Solution

The fourth proportional to 41,741.92, 57,602.10 and 22,877.83 is: 31,570.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,741.92 : 57,602.10 = 22,877.83 : x
  2. Step 2: Convert to fraction form
    41,741.92/57,602.10 = 22,877.83/x
  3. Step 3: Cross multiply
    41,741.92x = 57,602.10 × 22,877.83
  4. Step 4: Simplify right side
    41,741.92x = 1,317,811,051.44
  5. Step 5: Solve for x
    x = 1,317,811,051.44/41,741.92
  6. Step 6: Final answer
    x = 31,570.45

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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.