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Finding the Fourth Proportional to 31,796.48, 47,695.74 and 15,992.89

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Solution

The fourth proportional to 31,796.48, 47,695.74 and 15,992.89 is: 23,989.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,796.48 : 47,695.74 = 15,992.89 : x
  2. Step 2: Convert to fraction form
    31,796.48/47,695.74 = 15,992.89/x
  3. Step 3: Cross multiply
    31,796.48x = 47,695.74 × 15,992.89
  4. Step 4: Simplify right side
    31,796.48x = 762,792,404.85
  5. Step 5: Solve for x
    x = 762,792,404.85/31,796.48
  6. Step 6: Final answer
    x = 23,989.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.