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Finding the Fourth Proportional to 29,878.42, 41,143.29 and 29,215.40

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Solution

The fourth proportional to 29,878.42, 41,143.29 and 29,215.40 is: 40,230.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,878.42 : 41,143.29 = 29,215.40 : x
  2. Step 2: Convert to fraction form
    29,878.42/41,143.29 = 29,215.40/x
  3. Step 3: Cross multiply
    29,878.42x = 41,143.29 × 29,215.40
  4. Step 4: Simplify right side
    29,878.42x = 1,202,017,674.67
  5. Step 5: Solve for x
    x = 1,202,017,674.67/29,878.42
  6. Step 6: Final answer
    x = 40,230.30

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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.