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Finding the Fourth Proportional to 31,901.74, 44,023.97 and 17,754.59

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Solution

The fourth proportional to 31,901.74, 44,023.97 and 17,754.59 is: 24,501.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,901.74 : 44,023.97 = 17,754.59 : x
  2. Step 2: Convert to fraction form
    31,901.74/44,023.97 = 17,754.59/x
  3. Step 3: Cross multiply
    31,901.74x = 44,023.97 × 17,754.59
  4. Step 4: Simplify right side
    31,901.74x = 781,627,228.63
  5. Step 5: Solve for x
    x = 781,627,228.63/31,901.74
  6. Step 6: Final answer
    x = 24,501.09

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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.