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Finding the Fourth Proportional to 31,777, 43,852.38 and 17,631.88

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Solution

The fourth proportional to 31,777, 43,852.38 and 17,631.88 is: 24,332.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,777 : 43,852.38 = 17,631.88 : x
  2. Step 2: Convert to fraction form
    31,777/43,852.38 = 17,631.88/x
  3. Step 3: Cross multiply
    31,777x = 43,852.38 × 17,631.88
  4. Step 4: Simplify right side
    31,777x = 773,199,901.87
  5. Step 5: Solve for x
    x = 773,199,901.87/31,777
  6. Step 6: Final answer
    x = 24,332.06

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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.