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Finding the Fourth Proportional to 29,561.78, 40,794.48 and 16,133.19

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Solution

The fourth proportional to 29,561.78, 40,794.48 and 16,133.19 is: 22,263.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,561.78 : 40,794.48 = 16,133.19 : x
  2. Step 2: Convert to fraction form
    29,561.78/40,794.48 = 16,133.19/x
  3. Step 3: Cross multiply
    29,561.78x = 40,794.48 × 16,133.19
  4. Step 4: Simplify right side
    29,561.78x = 658,145,096.79
  5. Step 5: Solve for x
    x = 658,145,096.79/29,561.78
  6. Step 6: Final answer
    x = 22,263.38

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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.