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Finding the Fourth Proportional to 31,033.48, 46,550.49 and 8,846.83

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Solution

The fourth proportional to 31,033.48, 46,550.49 and 8,846.83 is: 13,270.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,033.48 : 46,550.49 = 8,846.83 : x
  2. Step 2: Convert to fraction form
    31,033.48/46,550.49 = 8,846.83/x
  3. Step 3: Cross multiply
    31,033.48x = 46,550.49 × 8,846.83
  4. Step 4: Simplify right side
    31,033.48x = 411,823,994.46
  5. Step 5: Solve for x
    x = 411,823,994.46/31,033.48
  6. Step 6: Final answer
    x = 13,270.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.