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Finding the Fourth Proportional to 38,578.41, 57,836.47 and 35,464.50

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Solution

The fourth proportional to 38,578.41, 57,836.47 and 35,464.50 is: 53,168.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,578.41 : 57,836.47 = 35,464.50 : x
  2. Step 2: Convert to fraction form
    38,578.41/57,836.47 = 35,464.50/x
  3. Step 3: Cross multiply
    38,578.41x = 57,836.47 × 35,464.50
  4. Step 4: Simplify right side
    38,578.41x = 2,051,141,201.13
  5. Step 5: Solve for x
    x = 2,051,141,201.13/38,578.41
  6. Step 6: Final answer
    x = 53,168.11

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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.