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Finding the Fourth Proportional to 64,871.97, 89,524.50 and 38,022.09

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Solution

The fourth proportional to 64,871.97, 89,524.50 and 38,022.09 is: 52,471.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,871.97 : 89,524.50 = 38,022.09 : x
  2. Step 2: Convert to fraction form
    64,871.97/89,524.50 = 38,022.09/x
  3. Step 3: Cross multiply
    64,871.97x = 89,524.50 × 38,022.09
  4. Step 4: Simplify right side
    64,871.97x = 3,403,908,596.21
  5. Step 5: Solve for x
    x = 3,403,908,596.21/64,871.97
  6. Step 6: Final answer
    x = 52,471.18

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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.