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Finding the Fourth Proportional to 33,106.41, 45,642.96 and 27,420.21

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Solution

The fourth proportional to 33,106.41, 45,642.96 and 27,420.21 is: 37,803.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,106.41 : 45,642.96 = 27,420.21 : x
  2. Step 2: Convert to fraction form
    33,106.41/45,642.96 = 27,420.21/x
  3. Step 3: Cross multiply
    33,106.41x = 45,642.96 × 27,420.21
  4. Step 4: Simplify right side
    33,106.41x = 1,251,539,548.22
  5. Step 5: Solve for x
    x = 1,251,539,548.22/33,106.41
  6. Step 6: Final answer
    x = 37,803.54

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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.