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Finding the Fourth Proportional to 29,474.17, 40,674.24 and 16,045.38

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Solution

The fourth proportional to 29,474.17, 40,674.24 and 16,045.38 is: 22,142.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,474.17 : 40,674.24 = 16,045.38 : x
  2. Step 2: Convert to fraction form
    29,474.17/40,674.24 = 16,045.38/x
  3. Step 3: Cross multiply
    29,474.17x = 40,674.24 × 16,045.38
  4. Step 4: Simplify right side
    29,474.17x = 652,633,637.01
  5. Step 5: Solve for x
    x = 652,633,637.01/29,474.17
  6. Step 6: Final answer
    x = 22,142.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.