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Finding the Fourth Proportional to 33,005.81, 45,471.01 and 27,002.49

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Solution

The fourth proportional to 33,005.81, 45,471.01 and 27,002.49 is: 37,200.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,005.81 : 45,471.01 = 27,002.49 : x
  2. Step 2: Convert to fraction form
    33,005.81/45,471.01 = 27,002.49/x
  3. Step 3: Cross multiply
    33,005.81x = 45,471.01 × 27,002.49
  4. Step 4: Simplify right side
    33,005.81x = 1,227,830,492.81
  5. Step 5: Solve for x
    x = 1,227,830,492.81/33,005.81
  6. Step 6: Final answer
    x = 37,200.44

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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.