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Finding the Fourth Proportional to 31,719.70, 43,775.86 and 17,573.86

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Solution

The fourth proportional to 31,719.70, 43,775.86 and 17,573.86 is: 24,253.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,719.70 : 43,775.86 = 17,573.86 : x
  2. Step 2: Convert to fraction form
    31,719.70/43,775.86 = 17,573.86/x
  3. Step 3: Cross multiply
    31,719.70x = 43,775.86 × 17,573.86
  4. Step 4: Simplify right side
    31,719.70x = 769,310,835.02
  5. Step 5: Solve for x
    x = 769,310,835.02/31,719.70
  6. Step 6: Final answer
    x = 24,253.41

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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.