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Finding the Fourth Proportional to 53,072.71, 73,240.34 and 29,198.87

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Solution

The fourth proportional to 53,072.71, 73,240.34 and 29,198.87 is: 40,294.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,072.71 : 73,240.34 = 29,198.87 : x
  2. Step 2: Convert to fraction form
    53,072.71/73,240.34 = 29,198.87/x
  3. Step 3: Cross multiply
    53,072.71x = 73,240.34 × 29,198.87
  4. Step 4: Simplify right side
    53,072.71x = 2,138,535,285.64
  5. Step 5: Solve for x
    x = 2,138,535,285.64/53,072.71
  6. Step 6: Final answer
    x = 40,294.44

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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.