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Finding the Fourth Proportional to 31,772.56, 47,659.02 and 8,398.75

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Solution

The fourth proportional to 31,772.56, 47,659.02 and 8,398.75 is: 12,598.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,772.56 : 47,659.02 = 8,398.75 : x
  2. Step 2: Convert to fraction form
    31,772.56/47,659.02 = 8,398.75/x
  3. Step 3: Cross multiply
    31,772.56x = 47,659.02 × 8,398.75
  4. Step 4: Simplify right side
    31,772.56x = 400,276,194.23
  5. Step 5: Solve for x
    x = 400,276,194.23/31,772.56
  6. Step 6: Final answer
    x = 12,598.17

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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.