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Finding the Fourth Proportional to 31,656.52, 47,483.46 and 8,282.44

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Solution

The fourth proportional to 31,656.52, 47,483.46 and 8,282.44 is: 12,423.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,656.52 : 47,483.46 = 8,282.44 : x
  2. Step 2: Convert to fraction form
    31,656.52/47,483.46 = 8,282.44/x
  3. Step 3: Cross multiply
    31,656.52x = 47,483.46 × 8,282.44
  4. Step 4: Simplify right side
    31,656.52x = 393,278,908.44
  5. Step 5: Solve for x
    x = 393,278,908.44/31,656.52
  6. Step 6: Final answer
    x = 12,423.31

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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.