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Finding the Fourth Proportional to 31,019.97, 42,809.79 and 17,592.39

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Solution

The fourth proportional to 31,019.97, 42,809.79 and 17,592.39 is: 24,278.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,019.97 : 42,809.79 = 17,592.39 : x
  2. Step 2: Convert to fraction form
    31,019.97/42,809.79 = 17,592.39/x
  3. Step 3: Cross multiply
    31,019.97x = 42,809.79 × 17,592.39
  4. Step 4: Simplify right side
    31,019.97x = 753,126,521.50
  5. Step 5: Solve for x
    x = 753,126,521.50/31,019.97
  6. Step 6: Final answer
    x = 24,278.76

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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.