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Finding the Fourth Proportional to 33,116, 49,674.12 and 31,454.96

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Solution

The fourth proportional to 33,116, 49,674.12 and 31,454.96 is: 47,182.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,116 : 49,674.12 = 31,454.96 : x
  2. Step 2: Convert to fraction form
    33,116/49,674.12 = 31,454.96/x
  3. Step 3: Cross multiply
    33,116x = 49,674.12 × 31,454.96
  4. Step 4: Simplify right side
    33,116x = 1,562,497,457.64
  5. Step 5: Solve for x
    x = 1,562,497,457.64/33,116
  6. Step 6: Final answer
    x = 47,182.55

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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.