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Finding the Fourth Proportional to 38,438.40, 57,657.60 and 30,662.40

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Solution

The fourth proportional to 38,438.40, 57,657.60 and 30,662.40 is: 45,993.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,438.40 : 57,657.60 = 30,662.40 : x
  2. Step 2: Convert to fraction form
    38,438.40/57,657.60 = 30,662.40/x
  3. Step 3: Cross multiply
    38,438.40x = 57,657.60 × 30,662.40
  4. Step 4: Simplify right side
    38,438.40x = 1,767,920,394.24
  5. Step 5: Solve for x
    x = 1,767,920,394.24/38,438.40
  6. Step 6: Final answer
    x = 45,993.60

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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.