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Finding the Fourth Proportional to 65,983.80, 98,829.90 and 34,782.60

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Solution

The fourth proportional to 65,983.80, 98,829.90 and 34,782.60 is: 52,097.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,983.80 : 98,829.90 = 34,782.60 : x
  2. Step 2: Convert to fraction form
    65,983.80/98,829.90 = 34,782.60/x
  3. Step 3: Cross multiply
    65,983.80x = 98,829.90 × 34,782.60
  4. Step 4: Simplify right side
    65,983.80x = 3,437,560,879.74
  5. Step 5: Solve for x
    x = 3,437,560,879.74/65,983.80
  6. Step 6: Final answer
    x = 52,097.04

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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.