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Finding the Fourth Proportional to 54,495.29, 75,212.54 and 31,834.22

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Solution

The fourth proportional to 54,495.29, 75,212.54 and 31,834.22 is: 43,936.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,495.29 : 75,212.54 = 31,834.22 : x
  2. Step 2: Convert to fraction form
    54,495.29/75,212.54 = 31,834.22/x
  3. Step 3: Cross multiply
    54,495.29x = 75,212.54 × 31,834.22
  4. Step 4: Simplify right side
    54,495.29x = 2,394,332,009.89
  5. Step 5: Solve for x
    x = 2,394,332,009.89/54,495.29
  6. Step 6: Final answer
    x = 43,936.50

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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.