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Finding the Fourth Proportional to 38,295.60, 57,459.60 and 24,266.40

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Solution

The fourth proportional to 38,295.60, 57,459.60 and 24,266.40 is: 36,409.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,295.60 : 57,459.60 = 24,266.40 : x
  2. Step 2: Convert to fraction form
    38,295.60/57,459.60 = 24,266.40/x
  3. Step 3: Cross multiply
    38,295.60x = 57,459.60 × 24,266.40
  4. Step 4: Simplify right side
    38,295.60x = 1,394,337,637.44
  5. Step 5: Solve for x
    x = 1,394,337,637.44/38,295.60
  6. Step 6: Final answer
    x = 36,409.87

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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.