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Finding the Fourth Proportional to 65,829.06, 90,843.72 and 35,614.30

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Solution

The fourth proportional to 65,829.06, 90,843.72 and 35,614.30 is: 49,147.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,829.06 : 90,843.72 = 35,614.30 : x
  2. Step 2: Convert to fraction form
    65,829.06/90,843.72 = 35,614.30/x
  3. Step 3: Cross multiply
    65,829.06x = 90,843.72 × 35,614.30
  4. Step 4: Simplify right side
    65,829.06x = 3,235,335,497.20
  5. Step 5: Solve for x
    x = 3,235,335,497.20/65,829.06
  6. Step 6: Final answer
    x = 49,147.53

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1.5x scale

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.