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Finding the Fourth Proportional to 33,156, 45,794.16 and 21,958.56

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Solution

The fourth proportional to 33,156, 45,794.16 and 21,958.56 is: 30,328.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,156 : 45,794.16 = 21,958.56 : x
  2. Step 2: Convert to fraction form
    33,156/45,794.16 = 21,958.56/x
  3. Step 3: Cross multiply
    33,156x = 45,794.16 × 21,958.56
  4. Step 4: Simplify right side
    33,156x = 1,005,573,810.01
  5. Step 5: Solve for x
    x = 1,005,573,810.01/33,156
  6. Step 6: Final answer
    x = 30,328.56

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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.