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Finding the Fourth Proportional to 29,412.14, 44,120.13 and 21,538.22

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Solution

The fourth proportional to 29,412.14, 44,120.13 and 21,538.22 is: 32,308.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,412.14 : 44,120.13 = 21,538.22 : x
  2. Step 2: Convert to fraction form
    29,412.14/44,120.13 = 21,538.22/x
  3. Step 3: Cross multiply
    29,412.14x = 44,120.13 × 21,538.22
  4. Step 4: Simplify right side
    29,412.14x = 950,269,066.37
  5. Step 5: Solve for x
    x = 950,269,066.37/29,412.14
  6. Step 6: Final answer
    x = 32,308.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.