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Finding the Fourth Proportional to 31,817.99, 43,907.62 and 17,671.74

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Solution

The fourth proportional to 31,817.99, 43,907.62 and 17,671.74 is: 24,386.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,817.99 : 43,907.62 = 17,671.74 : x
  2. Step 2: Convert to fraction form
    31,817.99/43,907.62 = 17,671.74/x
  3. Step 3: Cross multiply
    31,817.99x = 43,907.62 × 17,671.74
  4. Step 4: Simplify right side
    31,817.99x = 775,924,044.66
  5. Step 5: Solve for x
    x = 775,924,044.66/31,817.99
  6. Step 6: Final answer
    x = 24,386.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.