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Finding the Fourth Proportional to 31,873.92, 47,810.33 and 11,096.88

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Solution

The fourth proportional to 31,873.92, 47,810.33 and 11,096.88 is: 16,645.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,873.92 : 47,810.33 = 11,096.88 : x
  2. Step 2: Convert to fraction form
    31,873.92/47,810.33 = 11,096.88/x
  3. Step 3: Cross multiply
    31,873.92x = 47,810.33 × 11,096.88
  4. Step 4: Simplify right side
    31,873.92x = 530,545,494.77
  5. Step 5: Solve for x
    x = 530,545,494.77/31,873.92
  6. Step 6: Final answer
    x = 16,645.13

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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.