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Finding the Fourth Proportional to 33,887.54, 50,830.94 and 13,892.57

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Solution

The fourth proportional to 33,887.54, 50,830.94 and 13,892.57 is: 20,838.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,887.54 : 50,830.94 = 13,892.57 : x
  2. Step 2: Convert to fraction form
    33,887.54/50,830.94 = 13,892.57/x
  3. Step 3: Cross multiply
    33,887.54x = 50,830.94 × 13,892.57
  4. Step 4: Simplify right side
    33,887.54x = 706,172,068.50
  5. Step 5: Solve for x
    x = 706,172,068.50/33,887.54
  6. Step 6: Final answer
    x = 20,838.70

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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.