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Finding the Fourth Proportional to 91,806.91, 137,668.80 and 32,644.14

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Solution

The fourth proportional to 91,806.91, 137,668.80 and 32,644.14 is: 48,951.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,806.91 : 137,668.80 = 32,644.14 : x
  2. Step 2: Convert to fraction form
    91,806.91/137,668.80 = 32,644.14/x
  3. Step 3: Cross multiply
    91,806.91x = 137,668.80 × 32,644.14
  4. Step 4: Simplify right side
    91,806.91x = 4,494,079,580.83
  5. Step 5: Solve for x
    x = 4,494,079,580.83/91,806.91
  6. Step 6: Final answer
    x = 48,951.43

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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.