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Finding the Fourth Proportional to 38,626.47, 57,830.40 and 24,551.64

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Solution

The fourth proportional to 38,626.47, 57,830.40 and 24,551.64 is: 36,757.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,626.47 : 57,830.40 = 24,551.64 : x
  2. Step 2: Convert to fraction form
    38,626.47/57,830.40 = 24,551.64/x
  3. Step 3: Cross multiply
    38,626.47x = 57,830.40 × 24,551.64
  4. Step 4: Simplify right side
    38,626.47x = 1,419,831,161.86
  5. Step 5: Solve for x
    x = 1,419,831,161.86/38,626.47
  6. Step 6: Final answer
    x = 36,757.98

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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.