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Finding the Fourth Proportional to 31,699.26, 47,542.01 and 9,506.68

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Solution

The fourth proportional to 31,699.26, 47,542.01 and 9,506.68 is: 14,257.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,699.26 : 47,542.01 = 9,506.68 : x
  2. Step 2: Convert to fraction form
    31,699.26/47,542.01 = 9,506.68/x
  3. Step 3: Cross multiply
    31,699.26x = 47,542.01 × 9,506.68
  4. Step 4: Simplify right side
    31,699.26x = 451,966,509.24
  5. Step 5: Solve for x
    x = 451,966,509.24/31,699.26
  6. Step 6: Final answer
    x = 14,257.95

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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.