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Finding the Fourth Proportional to 57,150, 78,848.78 and 37,022.31

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Solution

The fourth proportional to 57,150, 78,848.78 and 37,022.31 is: 51,078.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,150 : 78,848.78 = 37,022.31 : x
  2. Step 2: Convert to fraction form
    57,150/78,848.78 = 37,022.31/x
  3. Step 3: Cross multiply
    57,150x = 78,848.78 × 37,022.31
  4. Step 4: Simplify right side
    57,150x = 2,919,163,791.17
  5. Step 5: Solve for x
    x = 2,919,163,791.17/57,150
  6. Step 6: Final answer
    x = 51,078.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.