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Finding the Fourth Proportional to 38,097.81, 52,576.02 and 21,103.20

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Solution

The fourth proportional to 38,097.81, 52,576.02 and 21,103.20 is: 29,122.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,097.81 : 52,576.02 = 21,103.20 : x
  2. Step 2: Convert to fraction form
    38,097.81/52,576.02 = 21,103.20/x
  3. Step 3: Cross multiply
    38,097.81x = 52,576.02 × 21,103.20
  4. Step 4: Simplify right side
    38,097.81x = 1,109,522,265.26
  5. Step 5: Solve for x
    x = 1,109,522,265.26/38,097.81
  6. Step 6: Final answer
    x = 29,122.99

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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.