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Finding the Fourth Proportional to 69,404.64, 104,091.36 and 31,928.70

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Solution

The fourth proportional to 69,404.64, 104,091.36 and 31,928.70 is: 47,885.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,404.64 : 104,091.36 = 31,928.70 : x
  2. Step 2: Convert to fraction form
    69,404.64/104,091.36 = 31,928.70/x
  3. Step 3: Cross multiply
    69,404.64x = 104,091.36 × 31,928.70
  4. Step 4: Simplify right side
    69,404.64x = 3,323,501,806.03
  5. Step 5: Solve for x
    x = 3,323,501,806.03/69,404.64
  6. Step 6: Final answer
    x = 47,885.87

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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.