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Finding the Fourth Proportional to 49,945.50, 74,827.89 and 31,216.50

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Solution

The fourth proportional to 49,945.50, 74,827.89 and 31,216.50 is: 46,768.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,945.50 : 74,827.89 = 31,216.50 : x
  2. Step 2: Convert to fraction form
    49,945.50/74,827.89 = 31,216.50/x
  3. Step 3: Cross multiply
    49,945.50x = 74,827.89 × 31,216.50
  4. Step 4: Simplify right side
    49,945.50x = 2,335,864,828.19
  5. Step 5: Solve for x
    x = 2,335,864,828.19/49,945.50
  6. Step 6: Final answer
    x = 46,768.27

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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.