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Finding the Fourth Proportional to 29,541.42, 40,767 and 16,112.42

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Solution

The fourth proportional to 29,541.42, 40,767 and 16,112.42 is: 22,235.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,541.42 : 40,767 = 16,112.42 : x
  2. Step 2: Convert to fraction form
    29,541.42/40,767 = 16,112.42/x
  3. Step 3: Cross multiply
    29,541.42x = 40,767 × 16,112.42
  4. Step 4: Simplify right side
    29,541.42x = 656,855,026.14
  5. Step 5: Solve for x
    x = 656,855,026.14/29,541.42
  6. Step 6: Final answer
    x = 22,235.05

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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.