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Finding the Fourth Proportional to 29,877.42, 41,141.91 and 29,214.40

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Solution

The fourth proportional to 29,877.42, 41,141.91 and 29,214.40 is: 40,228.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,877.42 : 41,141.91 = 29,214.40 : x
  2. Step 2: Convert to fraction form
    29,877.42/41,141.91 = 29,214.40/x
  3. Step 3: Cross multiply
    29,877.42x = 41,141.91 × 29,214.40
  4. Step 4: Simplify right side
    29,877.42x = 1,201,936,215.50
  5. Step 5: Solve for x
    x = 1,201,936,215.50/29,877.42
  6. Step 6: Final answer
    x = 40,228.92

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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.