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Finding the Fourth Proportional to 82,008, 122,999.52 and 22,837.44

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Solution

The fourth proportional to 82,008, 122,999.52 and 22,837.44 is: 34,252.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,008 : 122,999.52 = 22,837.44 : x
  2. Step 2: Convert to fraction form
    82,008/122,999.52 = 22,837.44/x
  3. Step 3: Cross multiply
    82,008x = 122,999.52 × 22,837.44
  4. Step 4: Simplify right side
    82,008x = 2,808,994,158.03
  5. Step 5: Solve for x
    x = 2,808,994,158.03/82,008
  6. Step 6: Final answer
    x = 34,252.68

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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.