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Finding the Fourth Proportional to 35,742.96, 49,331.16 and 19,832.53

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Solution

The fourth proportional to 35,742.96, 49,331.16 and 19,832.53 is: 27,372.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,742.96 : 49,331.16 = 19,832.53 : x
  2. Step 2: Convert to fraction form
    35,742.96/49,331.16 = 19,832.53/x
  3. Step 3: Cross multiply
    35,742.96x = 49,331.16 × 19,832.53
  4. Step 4: Simplify right side
    35,742.96x = 978,361,710.63
  5. Step 5: Solve for x
    x = 978,361,710.63/35,742.96
  6. Step 6: Final answer
    x = 27,372.15

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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.