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Finding the Fourth Proportional to 31,465.89, 47,169.68 and 15,661.17

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Solution

The fourth proportional to 31,465.89, 47,169.68 and 15,661.17 is: 23,477.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,465.89 : 47,169.68 = 15,661.17 : x
  2. Step 2: Convert to fraction form
    31,465.89/47,169.68 = 15,661.17/x
  3. Step 3: Cross multiply
    31,465.89x = 47,169.68 × 15,661.17
  4. Step 4: Simplify right side
    31,465.89x = 738,732,299.02
  5. Step 5: Solve for x
    x = 738,732,299.02/31,465.89
  6. Step 6: Final answer
    x = 23,477.24

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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.