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Finding the Fourth Proportional to 78,048, 117,067.88 and 21,892.01

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Solution

The fourth proportional to 78,048, 117,067.88 and 21,892.01 is: 32,836.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,048 : 117,067.88 = 21,892.01 : x
  2. Step 2: Convert to fraction form
    78,048/117,067.88 = 21,892.01/x
  3. Step 3: Cross multiply
    78,048x = 117,067.88 × 21,892.01
  4. Step 4: Simplify right side
    78,048x = 2,562,850,669.03
  5. Step 5: Solve for x
    x = 2,562,850,669.03/78,048
  6. Step 6: Final answer
    x = 32,836.85

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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.