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Finding the Fourth Proportional to 33,434.91, 50,151.31 and 13,698.63

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Solution

The fourth proportional to 33,434.91, 50,151.31 and 13,698.63 is: 20,547.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,434.91 : 50,151.31 = 13,698.63 : x
  2. Step 2: Convert to fraction form
    33,434.91/50,151.31 = 13,698.63/x
  3. Step 3: Cross multiply
    33,434.91x = 50,151.31 × 13,698.63
  4. Step 4: Simplify right side
    33,434.91x = 687,004,205.46
  5. Step 5: Solve for x
    x = 687,004,205.46/33,434.91
  6. Step 6: Final answer
    x = 20,547.51

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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.