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Finding the Fourth Proportional to 29,340, 40,489.20 and 16,092

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Solution

The fourth proportional to 29,340, 40,489.20 and 16,092 is: 22,206.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,340 : 40,489.20 = 16,092 : x
  2. Step 2: Convert to fraction form
    29,340/40,489.20 = 16,092/x
  3. Step 3: Cross multiply
    29,340x = 40,489.20 × 16,092
  4. Step 4: Simplify right side
    29,340x = 651,552,206.40
  5. Step 5: Solve for x
    x = 651,552,206.40/29,340
  6. Step 6: Final answer
    x = 22,206.96

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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.