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Finding the Fourth Proportional to 50,225.70, 69,311.58 and 27,564.86

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Solution

The fourth proportional to 50,225.70, 69,311.58 and 27,564.86 is: 38,039.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,225.70 : 69,311.58 = 27,564.86 : x
  2. Step 2: Convert to fraction form
    50,225.70/69,311.58 = 27,564.86/x
  3. Step 3: Cross multiply
    50,225.70x = 69,311.58 × 27,564.86
  4. Step 4: Simplify right side
    50,225.70x = 1,910,563,999.08
  5. Step 5: Solve for x
    x = 1,910,563,999.08/50,225.70
  6. Step 6: Final answer
    x = 38,039.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.