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Finding the Fourth Proportional to 65,767.42, 90,767.93 and 37,092.97

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Solution

The fourth proportional to 65,767.42, 90,767.93 and 37,092.97 is: 51,193.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,767.42 : 90,767.93 = 37,092.97 : x
  2. Step 2: Convert to fraction form
    65,767.42/90,767.93 = 37,092.97/x
  3. Step 3: Cross multiply
    65,767.42x = 90,767.93 × 37,092.97
  4. Step 4: Simplify right side
    65,767.42x = 3,366,852,104.45
  5. Step 5: Solve for x
    x = 3,366,852,104.45/65,767.42
  6. Step 6: Final answer
    x = 51,193.31

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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.