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Finding the Fourth Proportional to 29,126, 40,193.51 and 16,381.29

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Solution

The fourth proportional to 29,126, 40,193.51 and 16,381.29 is: 22,605.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,126 : 40,193.51 = 16,381.29 : x
  2. Step 2: Convert to fraction form
    29,126/40,193.51 = 16,381.29/x
  3. Step 3: Cross multiply
    29,126x = 40,193.51 × 16,381.29
  4. Step 4: Simplify right side
    29,126x = 658,421,543.43
  5. Step 5: Solve for x
    x = 658,421,543.43/29,126
  6. Step 6: Final answer
    x = 22,605.97

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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.