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Finding the Fourth Proportional to 54,803.34, 82,205.01 and 23,218.38

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Solution

The fourth proportional to 54,803.34, 82,205.01 and 23,218.38 is: 34,827.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,803.34 : 82,205.01 = 23,218.38 : x
  2. Step 2: Convert to fraction form
    54,803.34/82,205.01 = 23,218.38/x
  3. Step 3: Cross multiply
    54,803.34x = 82,205.01 × 23,218.38
  4. Step 4: Simplify right side
    54,803.34x = 1,908,667,160.08
  5. Step 5: Solve for x
    x = 1,908,667,160.08/54,803.34
  6. Step 6: Final answer
    x = 34,827.57

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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.