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Finding the Fourth Proportional to 69,778.07, 96,292.83 and 37,946.29

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Solution

The fourth proportional to 69,778.07, 96,292.83 and 37,946.29 is: 52,365.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,778.07 : 96,292.83 = 37,946.29 : x
  2. Step 2: Convert to fraction form
    69,778.07/96,292.83 = 37,946.29/x
  3. Step 3: Cross multiply
    69,778.07x = 96,292.83 × 37,946.29
  4. Step 4: Simplify right side
    69,778.07x = 3,653,955,170.64
  5. Step 5: Solve for x
    x = 3,653,955,170.64/69,778.07
  6. Step 6: Final answer
    x = 52,365.38

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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.