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Finding the Fourth Proportional to 33,284, 45,932.08 and 19,137.68

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Solution

The fourth proportional to 33,284, 45,932.08 and 19,137.68 is: 26,410.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,284 : 45,932.08 = 19,137.68 : x
  2. Step 2: Convert to fraction form
    33,284/45,932.08 = 19,137.68/x
  3. Step 3: Cross multiply
    33,284x = 45,932.08 × 19,137.68
  4. Step 4: Simplify right side
    33,284x = 879,033,448.77
  5. Step 5: Solve for x
    x = 879,033,448.77/33,284
  6. Step 6: Final answer
    x = 26,410.09

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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.