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Finding the Fourth Proportional to 31,971.14, 47,956.71 and 8,597.58

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Solution

The fourth proportional to 31,971.14, 47,956.71 and 8,597.58 is: 12,896.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,971.14 : 47,956.71 = 8,597.58 : x
  2. Step 2: Convert to fraction form
    31,971.14/47,956.71 = 8,597.58/x
  3. Step 3: Cross multiply
    31,971.14x = 47,956.71 × 8,597.58
  4. Step 4: Simplify right side
    31,971.14x = 412,311,650.76
  5. Step 5: Solve for x
    x = 412,311,650.76/31,971.14
  6. Step 6: Final answer
    x = 12,896.37

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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.