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Finding the Fourth Proportional to 31,776.40, 47,649.44 and 11,772.17

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Solution

The fourth proportional to 31,776.40, 47,649.44 and 11,772.17 is: 17,652.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,776.40 : 47,649.44 = 11,772.17 : x
  2. Step 2: Convert to fraction form
    31,776.40/47,649.44 = 11,772.17/x
  3. Step 3: Cross multiply
    31,776.40x = 47,649.44 × 11,772.17
  4. Step 4: Simplify right side
    31,776.40x = 560,937,069.84
  5. Step 5: Solve for x
    x = 560,937,069.84/31,776.40
  6. Step 6: Final answer
    x = 17,652.63

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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.