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Finding the Fourth Proportional to 49,745.60, 74,606.12 and 31,016

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Solution

The fourth proportional to 49,745.60, 74,606.12 and 31,016 is: 46,516.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,745.60 : 74,606.12 = 31,016 : x
  2. Step 2: Convert to fraction form
    49,745.60/74,606.12 = 31,016/x
  3. Step 3: Cross multiply
    49,745.60x = 74,606.12 × 31,016
  4. Step 4: Simplify right side
    49,745.60x = 2,313,983,417.92
  5. Step 5: Solve for x
    x = 2,313,983,417.92/49,745.60
  6. Step 6: Final answer
    x = 46,516.34

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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.