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Finding the Fourth Proportional to 69,153.79, 95,431.32 and 38,942.10

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Solution

The fourth proportional to 69,153.79, 95,431.32 and 38,942.10 is: 53,739.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,153.79 : 95,431.32 = 38,942.10 : x
  2. Step 2: Convert to fraction form
    69,153.79/95,431.32 = 38,942.10/x
  3. Step 3: Cross multiply
    69,153.79x = 95,431.32 × 38,942.10
  4. Step 4: Simplify right side
    69,153.79x = 3,716,295,865.35
  5. Step 5: Solve for x
    x = 3,716,295,865.35/69,153.79
  6. Step 6: Final answer
    x = 53,739.58

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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.