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Finding the Fourth Proportional to 38,378.40, 57,632.40 and 25,288.80

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Solution

The fourth proportional to 38,378.40, 57,632.40 and 25,288.80 is: 37,975.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,378.40 : 57,632.40 = 25,288.80 : x
  2. Step 2: Convert to fraction form
    38,378.40/57,632.40 = 25,288.80/x
  3. Step 3: Cross multiply
    38,378.40x = 57,632.40 × 25,288.80
  4. Step 4: Simplify right side
    38,378.40x = 1,457,454,237.12
  5. Step 5: Solve for x
    x = 1,457,454,237.12/38,378.40
  6. Step 6: Final answer
    x = 37,975.90

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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.