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Finding the Fourth Proportional to 31,489.50, 47,223.14 and 9,296.94

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Solution

The fourth proportional to 31,489.50, 47,223.14 and 9,296.94 is: 13,942.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,489.50 : 47,223.14 = 9,296.94 : x
  2. Step 2: Convert to fraction form
    31,489.50/47,223.14 = 9,296.94/x
  3. Step 3: Cross multiply
    31,489.50x = 47,223.14 × 9,296.94
  4. Step 4: Simplify right side
    31,489.50x = 439,030,699.19
  5. Step 5: Solve for x
    x = 439,030,699.19/31,489.50
  6. Step 6: Final answer
    x = 13,942.13

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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.