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Finding the Fourth Proportional to 31,968.03, 47,952 and 8,594.46

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Solution

The fourth proportional to 31,968.03, 47,952 and 8,594.46 is: 12,891.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,968.03 : 47,952 = 8,594.46 : x
  2. Step 2: Convert to fraction form
    31,968.03/47,952 = 8,594.46/x
  3. Step 3: Cross multiply
    31,968.03x = 47,952 × 8,594.46
  4. Step 4: Simplify right side
    31,968.03x = 412,121,545.92
  5. Step 5: Solve for x
    x = 412,121,545.92/31,968.03
  6. Step 6: Final answer
    x = 12,891.68

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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.