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Finding the Fourth Proportional to 65,963.43, 91,029.24 and 35,749.53

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Solution

The fourth proportional to 65,963.43, 91,029.24 and 35,749.53 is: 49,334.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,963.43 : 91,029.24 = 35,749.53 : x
  2. Step 2: Convert to fraction form
    65,963.43/91,029.24 = 35,749.53/x
  3. Step 3: Cross multiply
    65,963.43x = 91,029.24 × 35,749.53
  4. Step 4: Simplify right side
    65,963.43x = 3,254,252,546.26
  5. Step 5: Solve for x
    x = 3,254,252,546.26/65,963.43
  6. Step 6: Final answer
    x = 49,334.19

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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.