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Finding the Fourth Proportional to 29,876.42, 41,140.53 and 29,213.40

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Solution

The fourth proportional to 29,876.42, 41,140.53 and 29,213.40 is: 40,227.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,876.42 : 41,140.53 = 29,213.40 : x
  2. Step 2: Convert to fraction form
    29,876.42/41,140.53 = 29,213.40/x
  3. Step 3: Cross multiply
    29,876.42x = 41,140.53 × 29,213.40
  4. Step 4: Simplify right side
    29,876.42x = 1,201,854,553.40
  5. Step 5: Solve for x
    x = 1,201,854,553.40/29,876.42
  6. Step 6: Final answer
    x = 40,227.54

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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.