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Finding the Fourth Proportional to 33,056.50, 45,541.84 and 22,837.74

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Solution

The fourth proportional to 33,056.50, 45,541.84 and 22,837.74 is: 31,463.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,056.50 : 45,541.84 = 22,837.74 : x
  2. Step 2: Convert to fraction form
    33,056.50/45,541.84 = 22,837.74/x
  3. Step 3: Cross multiply
    33,056.50x = 45,541.84 × 22,837.74
  4. Step 4: Simplify right side
    33,056.50x = 1,040,072,964.48
  5. Step 5: Solve for x
    x = 1,040,072,964.48/33,056.50
  6. Step 6: Final answer
    x = 31,463.49

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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.