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Finding the Fourth Proportional to 69,202.56, 95,400 and 49,296

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Solution

The fourth proportional to 69,202.56, 95,400 and 49,296 is: 67,957.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,202.56 : 95,400 = 49,296 : x
  2. Step 2: Convert to fraction form
    69,202.56/95,400 = 49,296/x
  3. Step 3: Cross multiply
    69,202.56x = 95,400 × 49,296
  4. Step 4: Simplify right side
    69,202.56x = 4,702,838,400
  5. Step 5: Solve for x
    x = 4,702,838,400/69,202.56
  6. Step 6: Final answer
    x = 67,957.58

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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.