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Finding the Fourth Proportional to 48,716.66, 72,927.02 and 31,198.80

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Solution

The fourth proportional to 48,716.66, 72,927.02 and 31,198.80 is: 46,703.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,716.66 : 72,927.02 = 31,198.80 : x
  2. Step 2: Convert to fraction form
    48,716.66/72,927.02 = 31,198.80/x
  3. Step 3: Cross multiply
    48,716.66x = 72,927.02 × 31,198.80
  4. Step 4: Simplify right side
    48,716.66x = 2,275,235,511.58
  5. Step 5: Solve for x
    x = 2,275,235,511.58/48,716.66
  6. Step 6: Final answer
    x = 46,703.44

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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.