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Finding the Fourth Proportional to 54,726, 82,097.76 and 23,136.40

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Solution

The fourth proportional to 54,726, 82,097.76 and 23,136.40 is: 34,708.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,726 : 82,097.76 = 23,136.40 : x
  2. Step 2: Convert to fraction form
    54,726/82,097.76 = 23,136.40/x
  3. Step 3: Cross multiply
    54,726x = 82,097.76 × 23,136.40
  4. Step 4: Simplify right side
    54,726x = 1,899,446,614.46
  5. Step 5: Solve for x
    x = 1,899,446,614.46/54,726
  6. Step 6: Final answer
    x = 34,708.30

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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.