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Finding the Fourth Proportional to 91,806.52, 137,668.23 and 32,643.76

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Solution

The fourth proportional to 91,806.52, 137,668.23 and 32,643.76 is: 48,950.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,806.52 : 137,668.23 = 32,643.76 : x
  2. Step 2: Convert to fraction form
    91,806.52/137,668.23 = 32,643.76/x
  3. Step 3: Cross multiply
    91,806.52x = 137,668.23 × 32,643.76
  4. Step 4: Simplify right side
    91,806.52x = 4,494,008,659.74
  5. Step 5: Solve for x
    x = 4,494,008,659.74/91,806.52
  6. Step 6: Final answer
    x = 48,950.87

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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.