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Finding the Fourth Proportional to 32,716.80, 49,002.30 and 26,884.80

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Solution

The fourth proportional to 32,716.80, 49,002.30 and 26,884.80 is: 40,267.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,716.80 : 49,002.30 = 26,884.80 : x
  2. Step 2: Convert to fraction form
    32,716.80/49,002.30 = 26,884.80/x
  3. Step 3: Cross multiply
    32,716.80x = 49,002.30 × 26,884.80
  4. Step 4: Simplify right side
    32,716.80x = 1,317,417,035.04
  5. Step 5: Solve for x
    x = 1,317,417,035.04/32,716.80
  6. Step 6: Final answer
    x = 40,267.29

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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.