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Finding the Fourth Proportional to 48,806.48, 67,354.50 and 31,821.69

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Solution

The fourth proportional to 48,806.48, 67,354.50 and 31,821.69 is: 43,914.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,806.48 : 67,354.50 = 31,821.69 : x
  2. Step 2: Convert to fraction form
    48,806.48/67,354.50 = 31,821.69/x
  3. Step 3: Cross multiply
    48,806.48x = 67,354.50 × 31,821.69
  4. Step 4: Simplify right side
    48,806.48x = 2,143,334,019.11
  5. Step 5: Solve for x
    x = 2,143,334,019.11/48,806.48
  6. Step 6: Final answer
    x = 43,914.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.