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Finding the Fourth Proportional to 31,951.28, 47,926.97 and 31,905.14

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Solution

The fourth proportional to 31,951.28, 47,926.97 and 31,905.14 is: 47,857.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,951.28 : 47,926.97 = 31,905.14 : x
  2. Step 2: Convert to fraction form
    31,951.28/47,926.97 = 31,905.14/x
  3. Step 3: Cross multiply
    31,951.28x = 47,926.97 × 31,905.14
  4. Step 4: Simplify right side
    31,951.28x = 1,529,116,528.10
  5. Step 5: Solve for x
    x = 1,529,116,528.10/31,951.28
  6. Step 6: Final answer
    x = 47,857.76

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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.