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Finding the Fourth Proportional to 65,966.31, 91,033.14 and 35,751.33

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Solution

The fourth proportional to 65,966.31, 91,033.14 and 35,751.33 is: 49,336.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,966.31 : 91,033.14 = 35,751.33 : x
  2. Step 2: Convert to fraction form
    65,966.31/91,033.14 = 35,751.33/x
  3. Step 3: Cross multiply
    65,966.31x = 91,033.14 × 35,751.33
  4. Step 4: Simplify right side
    65,966.31x = 3,254,555,829.08
  5. Step 5: Solve for x
    x = 3,254,555,829.08/65,966.31
  6. Step 6: Final answer
    x = 49,336.64

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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.