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Finding the Fourth Proportional to 65,512.80, 98,342.10 and 35,988.30

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Solution

The fourth proportional to 65,512.80, 98,342.10 and 35,988.30 is: 54,022.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,512.80 : 98,342.10 = 35,988.30 : x
  2. Step 2: Convert to fraction form
    65,512.80/98,342.10 = 35,988.30/x
  3. Step 3: Cross multiply
    65,512.80x = 98,342.10 × 35,988.30
  4. Step 4: Simplify right side
    65,512.80x = 3,539,164,997.43
  5. Step 5: Solve for x
    x = 3,539,164,997.43/65,512.80
  6. Step 6: Final answer
    x = 54,022.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.