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Finding the Fourth Proportional to 31,969.32, 47,954.16 and 8,276.88

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Solution

The fourth proportional to 31,969.32, 47,954.16 and 8,276.88 is: 12,415.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,969.32 : 47,954.16 = 8,276.88 : x
  2. Step 2: Convert to fraction form
    31,969.32/47,954.16 = 8,276.88/x
  3. Step 3: Cross multiply
    31,969.32x = 47,954.16 × 8,276.88
  4. Step 4: Simplify right side
    31,969.32x = 396,910,827.82
  5. Step 5: Solve for x
    x = 396,910,827.82/31,969.32
  6. Step 6: Final answer
    x = 12,415.37

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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.