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Finding the Fourth Proportional to 53,855.81, 74,309.73 and 31,193.42

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Solution

The fourth proportional to 53,855.81, 74,309.73 and 31,193.42 is: 43,040.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,855.81 : 74,309.73 = 31,193.42 : x
  2. Step 2: Convert to fraction form
    53,855.81/74,309.73 = 31,193.42/x
  3. Step 3: Cross multiply
    53,855.81x = 74,309.73 × 31,193.42
  4. Step 4: Simplify right side
    53,855.81x = 2,317,974,617.98
  5. Step 5: Solve for x
    x = 2,317,974,617.98/53,855.81
  6. Step 6: Final answer
    x = 43,040.39

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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.