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Finding the Fourth Proportional to 31,727.67, 47,558 and 10,647.72

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Solution

The fourth proportional to 31,727.67, 47,558 and 10,647.72 is: 15,960.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,727.67 : 47,558 = 10,647.72 : x
  2. Step 2: Convert to fraction form
    31,727.67/47,558 = 10,647.72/x
  3. Step 3: Cross multiply
    31,727.67x = 47,558 × 10,647.72
  4. Step 4: Simplify right side
    31,727.67x = 506,384,267.76
  5. Step 5: Solve for x
    x = 506,384,267.76/31,727.67
  6. Step 6: Final answer
    x = 15,960.34

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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.