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Finding the Fourth Proportional to 65,804.09, 90,809.38 and 35,589.43

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Solution

The fourth proportional to 65,804.09, 90,809.38 and 35,589.43 is: 49,113.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,804.09 : 90,809.38 = 35,589.43 : x
  2. Step 2: Convert to fraction form
    65,804.09/90,809.38 = 35,589.43/x
  3. Step 3: Cross multiply
    65,804.09x = 90,809.38 × 35,589.43
  4. Step 4: Simplify right side
    65,804.09x = 3,231,853,756.86
  5. Step 5: Solve for x
    x = 3,231,853,756.86/65,804.09
  6. Step 6: Final answer
    x = 49,113.26

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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.