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Finding the Fourth Proportional to 38,439.36, 57,672 and 38,180.16

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Solution

The fourth proportional to 38,439.36, 57,672 and 38,180.16 is: 57,283.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,439.36 : 57,672 = 38,180.16 : x
  2. Step 2: Convert to fraction form
    38,439.36/57,672 = 38,180.16/x
  3. Step 3: Cross multiply
    38,439.36x = 57,672 × 38,180.16
  4. Step 4: Simplify right side
    38,439.36x = 2,201,926,187.52
  5. Step 5: Solve for x
    x = 2,201,926,187.52/38,439.36
  6. Step 6: Final answer
    x = 57,283.11

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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.