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Finding the Fourth Proportional to 33,838.40, 50,759.04 and 10,465.28

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Solution

The fourth proportional to 33,838.40, 50,759.04 and 10,465.28 is: 15,698.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,838.40 : 50,759.04 = 10,465.28 : x
  2. Step 2: Convert to fraction form
    33,838.40/50,759.04 = 10,465.28/x
  3. Step 3: Cross multiply
    33,838.40x = 50,759.04 × 10,465.28
  4. Step 4: Simplify right side
    33,838.40x = 531,207,566.13
  5. Step 5: Solve for x
    x = 531,207,566.13/33,838.40
  6. Step 6: Final answer
    x = 15,698.37

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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.