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Finding the Fourth Proportional to 31,462.75, 43,411.44 and 22,969.50

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Solution

The fourth proportional to 31,462.75, 43,411.44 and 22,969.50 is: 31,692.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,462.75 : 43,411.44 = 22,969.50 : x
  2. Step 2: Convert to fraction form
    31,462.75/43,411.44 = 22,969.50/x
  3. Step 3: Cross multiply
    31,462.75x = 43,411.44 × 22,969.50
  4. Step 4: Simplify right side
    31,462.75x = 997,139,071.08
  5. Step 5: Solve for x
    x = 997,139,071.08/31,462.75
  6. Step 6: Final answer
    x = 31,692.69

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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.