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Finding the Fourth Proportional to 31,702.74, 43,750.71 and 17,555.82

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Solution

The fourth proportional to 31,702.74, 43,750.71 and 17,555.82 is: 24,227.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,702.74 : 43,750.71 = 17,555.82 : x
  2. Step 2: Convert to fraction form
    31,702.74/43,750.71 = 17,555.82/x
  3. Step 3: Cross multiply
    31,702.74x = 43,750.71 × 17,555.82
  4. Step 4: Simplify right side
    31,702.74x = 768,079,589.63
  5. Step 5: Solve for x
    x = 768,079,589.63/31,702.74
  6. Step 6: Final answer
    x = 24,227.55

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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.