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Finding the Fourth Proportional to 33,340, 49,985.32 and 20,189.28

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Solution

The fourth proportional to 33,340, 49,985.32 and 20,189.28 is: 30,268.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,340 : 49,985.32 = 20,189.28 : x
  2. Step 2: Convert to fraction form
    33,340/49,985.32 = 20,189.28/x
  3. Step 3: Cross multiply
    33,340x = 49,985.32 × 20,189.28
  4. Step 4: Simplify right side
    33,340x = 1,009,167,621.37
  5. Step 5: Solve for x
    x = 1,009,167,621.37/33,340
  6. Step 6: Final answer
    x = 30,268.97

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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.