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Finding the Fourth Proportional to 31,914.76, 47,873.94 and 9,728.92

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Solution

The fourth proportional to 31,914.76, 47,873.94 and 9,728.92 is: 14,593.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,914.76 : 47,873.94 = 9,728.92 : x
  2. Step 2: Convert to fraction form
    31,914.76/47,873.94 = 9,728.92/x
  3. Step 3: Cross multiply
    31,914.76x = 47,873.94 × 9,728.92
  4. Step 4: Simplify right side
    31,914.76x = 465,761,732.34
  5. Step 5: Solve for x
    x = 465,761,732.34/31,914.76
  6. Step 6: Final answer
    x = 14,593.93

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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.