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Finding the Fourth Proportional to 29,197, 40,292.02 and 15,949

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Solution

The fourth proportional to 29,197, 40,292.02 and 15,949 is: 22,009.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,197 : 40,292.02 = 15,949 : x
  2. Step 2: Convert to fraction form
    29,197/40,292.02 = 15,949/x
  3. Step 3: Cross multiply
    29,197x = 40,292.02 × 15,949
  4. Step 4: Simplify right side
    29,197x = 642,617,426.98
  5. Step 5: Solve for x
    x = 642,617,426.98/29,197
  6. Step 6: Final answer
    x = 22,009.71

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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.