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Finding the Fourth Proportional to 33,862.96, 50,813.32 and 12,817

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Solution

The fourth proportional to 33,862.96, 50,813.32 and 12,817 is: 19,232.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,862.96 : 50,813.32 = 12,817 : x
  2. Step 2: Convert to fraction form
    33,862.96/50,813.32 = 12,817/x
  3. Step 3: Cross multiply
    33,862.96x = 50,813.32 × 12,817
  4. Step 4: Simplify right side
    33,862.96x = 651,274,322.44
  5. Step 5: Solve for x
    x = 651,274,322.44/33,862.96
  6. Step 6: Final answer
    x = 19,232.65

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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.