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Finding the Fourth Proportional to 31,092.94, 42,909.41 and 17,666.47

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Solution

The fourth proportional to 31,092.94, 42,909.41 and 17,666.47 is: 24,380.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,092.94 : 42,909.41 = 17,666.47 : x
  2. Step 2: Convert to fraction form
    31,092.94/42,909.41 = 17,666.47/x
  3. Step 3: Cross multiply
    31,092.94x = 42,909.41 × 17,666.47
  4. Step 4: Simplify right side
    31,092.94x = 758,057,644.36
  5. Step 5: Solve for x
    x = 758,057,644.36/31,092.94
  6. Step 6: Final answer
    x = 24,380.38

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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.