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Finding the Fourth Proportional to 135,032.98, 202,571.43 and 41,538.82

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Solution

The fourth proportional to 135,032.98, 202,571.43 and 41,538.82 is: 62,314.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,032.98 : 202,571.43 = 41,538.82 : x
  2. Step 2: Convert to fraction form
    135,032.98/202,571.43 = 41,538.82/x
  3. Step 3: Cross multiply
    135,032.98x = 202,571.43 × 41,538.82
  4. Step 4: Simplify right side
    135,032.98x = 8,414,578,167.91
  5. Step 5: Solve for x
    x = 8,414,578,167.91/135,032.98
  6. Step 6: Final answer
    x = 62,314.99

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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.