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Finding the Fourth Proportional to 31,469.52, 47,204.64 and 8,095.28

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Solution

The fourth proportional to 31,469.52, 47,204.64 and 8,095.28 is: 12,143.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,469.52 : 47,204.64 = 8,095.28 : x
  2. Step 2: Convert to fraction form
    31,469.52/47,204.64 = 8,095.28/x
  3. Step 3: Cross multiply
    31,469.52x = 47,204.64 × 8,095.28
  4. Step 4: Simplify right side
    31,469.52x = 382,134,778.10
  5. Step 5: Solve for x
    x = 382,134,778.10/31,469.52
  6. Step 6: Final answer
    x = 12,143.01

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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.