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Finding the Fourth Proportional to 29,661.50, 40,931.66 and 17,731.44

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Solution

The fourth proportional to 29,661.50, 40,931.66 and 17,731.44 is: 24,468.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,661.50 : 40,931.66 = 17,731.44 : x
  2. Step 2: Convert to fraction form
    29,661.50/40,931.66 = 17,731.44/x
  3. Step 3: Cross multiply
    29,661.50x = 40,931.66 × 17,731.44
  4. Step 4: Simplify right side
    29,661.50x = 725,777,273.39
  5. Step 5: Solve for x
    x = 725,777,273.39/29,661.50
  6. Step 6: Final answer
    x = 24,468.66

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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.