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Finding the Fourth Proportional to 31,603.98, 43,607.78 and 20,419.50

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Solution

The fourth proportional to 31,603.98, 43,607.78 and 20,419.50 is: 28,175.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,603.98 : 43,607.78 = 20,419.50 : x
  2. Step 2: Convert to fraction form
    31,603.98/43,607.78 = 20,419.50/x
  3. Step 3: Cross multiply
    31,603.98x = 43,607.78 × 20,419.50
  4. Step 4: Simplify right side
    31,603.98x = 890,449,063.71
  5. Step 5: Solve for x
    x = 890,449,063.71/31,603.98
  6. Step 6: Final answer
    x = 28,175.22

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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.