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Finding the Fourth Proportional to 51,993.29, 71,754.02 and 29,324.01

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Solution

The fourth proportional to 51,993.29, 71,754.02 and 29,324.01 is: 40,468.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,993.29 : 71,754.02 = 29,324.01 : x
  2. Step 2: Convert to fraction form
    51,993.29/71,754.02 = 29,324.01/x
  3. Step 3: Cross multiply
    51,993.29x = 71,754.02 × 29,324.01
  4. Step 4: Simplify right side
    51,993.29x = 2,104,115,123.93
  5. Step 5: Solve for x
    x = 2,104,115,123.93/51,993.29
  6. Step 6: Final answer
    x = 40,468.98

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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.