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Finding the Fourth Proportional to 31,696.88, 47,545.32 and 8,323.28

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Solution

The fourth proportional to 31,696.88, 47,545.32 and 8,323.28 is: 12,484.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,696.88 : 47,545.32 = 8,323.28 : x
  2. Step 2: Convert to fraction form
    31,696.88/47,545.32 = 8,323.28/x
  3. Step 3: Cross multiply
    31,696.88x = 47,545.32 × 8,323.28
  4. Step 4: Simplify right side
    31,696.88x = 395,733,011.05
  5. Step 5: Solve for x
    x = 395,733,011.05/31,696.88
  6. Step 6: Final answer
    x = 12,484.92

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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.