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Finding the Fourth Proportional to 33,431.94, 49,849.02 and 32,513.40

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Solution

The fourth proportional to 33,431.94, 49,849.02 and 32,513.40 is: 48,479.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,431.94 : 49,849.02 = 32,513.40 : x
  2. Step 2: Convert to fraction form
    33,431.94/49,849.02 = 32,513.40/x
  3. Step 3: Cross multiply
    33,431.94x = 49,849.02 × 32,513.40
  4. Step 4: Simplify right side
    33,431.94x = 1,620,761,126.87
  5. Step 5: Solve for x
    x = 1,620,761,126.87/33,431.94
  6. Step 6: Final answer
    x = 48,479.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.