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Finding the Fourth Proportional to 31,591.53, 43,596.64 and 17,444.34

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Solution

The fourth proportional to 31,591.53, 43,596.64 and 17,444.34 is: 24,073.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,591.53 : 43,596.64 = 17,444.34 : x
  2. Step 2: Convert to fraction form
    31,591.53/43,596.64 = 17,444.34/x
  3. Step 3: Cross multiply
    31,591.53x = 43,596.64 × 17,444.34
  4. Step 4: Simplify right side
    31,591.53x = 760,514,611.02
  5. Step 5: Solve for x
    x = 760,514,611.02/31,591.53
  6. Step 6: Final answer
    x = 24,073.37

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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.