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Finding the Fourth Proportional to 65,883.96, 90,921.24 and 37,198.26

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Solution

The fourth proportional to 65,883.96, 90,921.24 and 37,198.26 is: 51,334.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,883.96 : 90,921.24 = 37,198.26 : x
  2. Step 2: Convert to fraction form
    65,883.96/90,921.24 = 37,198.26/x
  3. Step 3: Cross multiply
    65,883.96x = 90,921.24 × 37,198.26
  4. Step 4: Simplify right side
    65,883.96x = 3,382,111,925.04
  5. Step 5: Solve for x
    x = 3,382,111,925.04/65,883.96
  6. Step 6: Final answer
    x = 51,334.38

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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.