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Finding the Fourth Proportional to 41,638.32, 57,461.04 and 22,776.48

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Solution

The fourth proportional to 41,638.32, 57,461.04 and 22,776.48 is: 31,431.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,638.32 : 57,461.04 = 22,776.48 : x
  2. Step 2: Convert to fraction form
    41,638.32/57,461.04 = 22,776.48/x
  3. Step 3: Cross multiply
    41,638.32x = 57,461.04 × 22,776.48
  4. Step 4: Simplify right side
    41,638.32x = 1,308,760,228.34
  5. Step 5: Solve for x
    x = 1,308,760,228.34/41,638.32
  6. Step 6: Final answer
    x = 31,431.63

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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.