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Finding the Fourth Proportional to 33,057.64, 45,656.76 and 22,428.82

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Solution

The fourth proportional to 33,057.64, 45,656.76 and 22,428.82 is: 30,977.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,057.64 : 45,656.76 = 22,428.82 : x
  2. Step 2: Convert to fraction form
    33,057.64/45,656.76 = 22,428.82/x
  3. Step 3: Cross multiply
    33,057.64x = 45,656.76 × 22,428.82
  4. Step 4: Simplify right side
    33,057.64x = 1,024,027,251.82
  5. Step 5: Solve for x
    x = 1,024,027,251.82/33,057.64
  6. Step 6: Final answer
    x = 30,977.02

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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.