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Finding the Fourth Proportional to 41,638.40, 62,457.60 and 38,009.60

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Solution

The fourth proportional to 41,638.40, 62,457.60 and 38,009.60 is: 57,014.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,638.40 : 62,457.60 = 38,009.60 : x
  2. Step 2: Convert to fraction form
    41,638.40/62,457.60 = 38,009.60/x
  3. Step 3: Cross multiply
    41,638.40x = 62,457.60 × 38,009.60
  4. Step 4: Simplify right side
    41,638.40x = 2,373,988,392.96
  5. Step 5: Solve for x
    x = 2,373,988,392.96/41,638.40
  6. Step 6: Final answer
    x = 57,014.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.