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Finding the Fourth Proportional to 31,604.22, 47,414.73 and 9,417.66

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Solution

The fourth proportional to 31,604.22, 47,414.73 and 9,417.66 is: 14,128.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,604.22 : 47,414.73 = 9,417.66 : x
  2. Step 2: Convert to fraction form
    31,604.22/47,414.73 = 9,417.66/x
  3. Step 3: Cross multiply
    31,604.22x = 47,414.73 × 9,417.66
  4. Step 4: Simplify right side
    31,604.22x = 446,535,806.13
  5. Step 5: Solve for x
    x = 446,535,806.13/31,604.22
  6. Step 6: Final answer
    x = 14,128.99

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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.