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Finding the Fourth Proportional to 31,967.84, 47,950.68 and 8,593.04

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Solution

The fourth proportional to 31,967.84, 47,950.68 and 8,593.04 is: 12,889.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,967.84 : 47,950.68 = 8,593.04 : x
  2. Step 2: Convert to fraction form
    31,967.84/47,950.68 = 8,593.04/x
  3. Step 3: Cross multiply
    31,967.84x = 47,950.68 × 8,593.04
  4. Step 4: Simplify right side
    31,967.84x = 412,042,111.27
  5. Step 5: Solve for x
    x = 412,042,111.27/31,967.84
  6. Step 6: Final answer
    x = 12,889.27

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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.