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Finding the Fourth Proportional to 31,476.48, 47,222.70 and 11,755.20

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Solution

The fourth proportional to 31,476.48, 47,222.70 and 11,755.20 is: 17,635.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,476.48 : 47,222.70 = 11,755.20 : x
  2. Step 2: Convert to fraction form
    31,476.48/47,222.70 = 11,755.20/x
  3. Step 3: Cross multiply
    31,476.48x = 47,222.70 × 11,755.20
  4. Step 4: Simplify right side
    31,476.48x = 555,112,283.04
  5. Step 5: Solve for x
    x = 555,112,283.04/31,476.48
  6. Step 6: Final answer
    x = 17,635.78

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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.