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Finding the Fourth Proportional to 33,187.50, 49,781.25 and 8,563.50

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Solution

The fourth proportional to 33,187.50, 49,781.25 and 8,563.50 is: 12,845.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,187.50 : 49,781.25 = 8,563.50 : x
  2. Step 2: Convert to fraction form
    33,187.50/49,781.25 = 8,563.50/x
  3. Step 3: Cross multiply
    33,187.50x = 49,781.25 × 8,563.50
  4. Step 4: Simplify right side
    33,187.50x = 426,301,734.38
  5. Step 5: Solve for x
    x = 426,301,734.38/33,187.50
  6. Step 6: Final answer
    x = 12,845.25

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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.