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Finding the Fourth Proportional to 29,943.46, 41,325.82 and 24,899

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Solution

The fourth proportional to 29,943.46, 41,325.82 and 24,899 is: 34,363.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,943.46 : 41,325.82 = 24,899 : x
  2. Step 2: Convert to fraction form
    29,943.46/41,325.82 = 24,899/x
  3. Step 3: Cross multiply
    29,943.46x = 41,325.82 × 24,899
  4. Step 4: Simplify right side
    29,943.46x = 1,028,971,592.18
  5. Step 5: Solve for x
    x = 1,028,971,592.18/29,943.46
  6. Step 6: Final answer
    x = 34,363.82

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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.