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Finding the Fourth Proportional to 31,837.44, 47,722.80 and 17,776.82

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Solution

The fourth proportional to 31,837.44, 47,722.80 and 17,776.82 is: 26,646.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,837.44 : 47,722.80 = 17,776.82 : x
  2. Step 2: Convert to fraction form
    31,837.44/47,722.80 = 17,776.82/x
  3. Step 3: Cross multiply
    31,837.44x = 47,722.80 × 17,776.82
  4. Step 4: Simplify right side
    31,837.44x = 848,359,625.50
  5. Step 5: Solve for x
    x = 848,359,625.50/31,837.44
  6. Step 6: Final answer
    x = 26,646.60

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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.