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Finding the Fourth Proportional to 31,747.88, 43,813.14 and 17,599.88

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Solution

The fourth proportional to 31,747.88, 43,813.14 and 17,599.88 is: 24,288.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,747.88 : 43,813.14 = 17,599.88 : x
  2. Step 2: Convert to fraction form
    31,747.88/43,813.14 = 17,599.88/x
  3. Step 3: Cross multiply
    31,747.88x = 43,813.14 × 17,599.88
  4. Step 4: Simplify right side
    31,747.88x = 771,106,006.42
  5. Step 5: Solve for x
    x = 771,106,006.42/31,747.88
  6. Step 6: Final answer
    x = 24,288.43

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1.5x scale

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.