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Finding the Fourth Proportional to 31,854.92, 47,658.84 and 22,990.64

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Solution

The fourth proportional to 31,854.92, 47,658.84 and 22,990.64 is: 34,396.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,854.92 : 47,658.84 = 22,990.64 : x
  2. Step 2: Convert to fraction form
    31,854.92/47,658.84 = 22,990.64/x
  3. Step 3: Cross multiply
    31,854.92x = 47,658.84 × 22,990.64
  4. Step 4: Simplify right side
    31,854.92x = 1,095,707,233.26
  5. Step 5: Solve for x
    x = 1,095,707,233.26/31,854.92
  6. Step 6: Final answer
    x = 34,396.80

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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.