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Finding the Fourth Proportional to 31,673.58, 47,515.23 and 11,951.70

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Solution

The fourth proportional to 31,673.58, 47,515.23 and 11,951.70 is: 17,929.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,673.58 : 47,515.23 = 11,951.70 : x
  2. Step 2: Convert to fraction form
    31,673.58/47,515.23 = 11,951.70/x
  3. Step 3: Cross multiply
    31,673.58x = 47,515.23 × 11,951.70
  4. Step 4: Simplify right side
    31,673.58x = 567,887,774.39
  5. Step 5: Solve for x
    x = 567,887,774.39/31,673.58
  6. Step 6: Final answer
    x = 17,929.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.