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Finding the Fourth Proportional to 29,811.90, 41,144.31 and 19,232.30

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Solution

The fourth proportional to 29,811.90, 41,144.31 and 19,232.30 is: 26,543.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,811.90 : 41,144.31 = 19,232.30 : x
  2. Step 2: Convert to fraction form
    29,811.90/41,144.31 = 19,232.30/x
  3. Step 3: Cross multiply
    29,811.90x = 41,144.31 × 19,232.30
  4. Step 4: Simplify right side
    29,811.90x = 791,299,507.49
  5. Step 5: Solve for x
    x = 791,299,507.49/29,811.90
  6. Step 6: Final answer
    x = 26,543.08

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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.