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Finding the Fourth Proportional to 82,027, 123,052.38 and 25,848.10

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Solution

The fourth proportional to 82,027, 123,052.38 and 25,848.10 is: 38,775.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,027 : 123,052.38 = 25,848.10 : x
  2. Step 2: Convert to fraction form
    82,027/123,052.38 = 25,848.10/x
  3. Step 3: Cross multiply
    82,027x = 123,052.38 × 25,848.10
  4. Step 4: Simplify right side
    82,027x = 3,180,670,223.48
  5. Step 5: Solve for x
    x = 3,180,670,223.48/82,027
  6. Step 6: Final answer
    x = 38,775.89

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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.