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Finding the Fourth Proportional to 41,637.28, 57,459.90 and 22,774

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Solution

The fourth proportional to 41,637.28, 57,459.90 and 22,774 is: 31,428.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,637.28 : 57,459.90 = 22,774 : x
  2. Step 2: Convert to fraction form
    41,637.28/57,459.90 = 22,774/x
  3. Step 3: Cross multiply
    41,637.28x = 57,459.90 × 22,774
  4. Step 4: Simplify right side
    41,637.28x = 1,308,591,762.60
  5. Step 5: Solve for x
    x = 1,308,591,762.60/41,637.28
  6. Step 6: Final answer
    x = 31,428.37

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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.