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Finding the Fourth Proportional to 29,415, 40,592.76 and 16,167

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Solution

The fourth proportional to 29,415, 40,592.76 and 16,167 is: 22,310.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,415 : 40,592.76 = 16,167 : x
  2. Step 2: Convert to fraction form
    29,415/40,592.76 = 16,167/x
  3. Step 3: Cross multiply
    29,415x = 40,592.76 × 16,167
  4. Step 4: Simplify right side
    29,415x = 656,263,150.92
  5. Step 5: Solve for x
    x = 656,263,150.92/29,415
  6. Step 6: Final answer
    x = 22,310.49

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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.