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Finding the Fourth Proportional to 31,833.41, 47,770.16 and 17,802.62

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Solution

The fourth proportional to 31,833.41, 47,770.16 and 17,802.62 is: 26,715.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,833.41 : 47,770.16 = 17,802.62 : x
  2. Step 2: Convert to fraction form
    31,833.41/47,770.16 = 17,802.62/x
  3. Step 3: Cross multiply
    31,833.41x = 47,770.16 × 17,802.62
  4. Step 4: Simplify right side
    31,833.41x = 850,433,857.09
  5. Step 5: Solve for x
    x = 850,433,857.09/31,833.41
  6. Step 6: Final answer
    x = 26,715.14

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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.