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Finding the Fourth Proportional to 31,603.84, 47,419.56 and 18,456.26

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Solution

The fourth proportional to 31,603.84, 47,419.56 and 18,456.26 is: 27,692.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,603.84 : 47,419.56 = 18,456.26 : x
  2. Step 2: Convert to fraction form
    31,603.84/47,419.56 = 18,456.26/x
  3. Step 3: Cross multiply
    31,603.84x = 47,419.56 × 18,456.26
  4. Step 4: Simplify right side
    31,603.84x = 875,187,491.35
  5. Step 5: Solve for x
    x = 875,187,491.35/31,603.84
  6. Step 6: Final answer
    x = 27,692.44

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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.