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Finding the Fourth Proportional to 31,600.98, 43,603.65 and 20,416.50

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Solution

The fourth proportional to 31,600.98, 43,603.65 and 20,416.50 is: 28,171.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,600.98 : 43,603.65 = 20,416.50 : x
  2. Step 2: Convert to fraction form
    31,600.98/43,603.65 = 20,416.50/x
  3. Step 3: Cross multiply
    31,600.98x = 43,603.65 × 20,416.50
  4. Step 4: Simplify right side
    31,600.98x = 890,233,920.23
  5. Step 5: Solve for x
    x = 890,233,920.23/31,600.98
  6. Step 6: Final answer
    x = 28,171.09

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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.