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Finding the Fourth Proportional to 69,002, 95,222.76 and 39,199.76

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Solution

The fourth proportional to 69,002, 95,222.76 and 39,199.76 is: 54,095.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,002 : 95,222.76 = 39,199.76 : x
  2. Step 2: Convert to fraction form
    69,002/95,222.76 = 39,199.76/x
  3. Step 3: Cross multiply
    69,002x = 95,222.76 × 39,199.76
  4. Step 4: Simplify right side
    69,002x = 3,732,709,338.54
  5. Step 5: Solve for x
    x = 3,732,709,338.54/69,002
  6. Step 6: Final answer
    x = 54,095.67

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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.