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Finding the Fourth Proportional to 75,957, 104,735.34 and 49,064.04

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Solution

The fourth proportional to 75,957, 104,735.34 and 49,064.04 is: 67,653.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,957 : 104,735.34 = 49,064.04 : x
  2. Step 2: Convert to fraction form
    75,957/104,735.34 = 49,064.04/x
  3. Step 3: Cross multiply
    75,957x = 104,735.34 × 49,064.04
  4. Step 4: Simplify right side
    75,957x = 5,138,738,911.17
  5. Step 5: Solve for x
    x = 5,138,738,911.17/75,957
  6. Step 6: Final answer
    x = 67,653.26

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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.