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Finding the Fourth Proportional to 33,636.84, 50,462.82 and 10,265.16

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Solution

The fourth proportional to 33,636.84, 50,462.82 and 10,265.16 is: 15,400.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,636.84 : 50,462.82 = 10,265.16 : x
  2. Step 2: Convert to fraction form
    33,636.84/50,462.82 = 10,265.16/x
  3. Step 3: Cross multiply
    33,636.84x = 50,462.82 × 10,265.16
  4. Step 4: Simplify right side
    33,636.84x = 518,008,921.35
  5. Step 5: Solve for x
    x = 518,008,921.35/33,636.84
  6. Step 6: Final answer
    x = 15,400.05

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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.