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Finding the Fourth Proportional to 65,770.80, 98,429.40 and 39,494.40

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Solution

The fourth proportional to 65,770.80, 98,429.40 and 39,494.40 is: 59,105.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,770.80 : 98,429.40 = 39,494.40 : x
  2. Step 2: Convert to fraction form
    65,770.80/98,429.40 = 39,494.40/x
  3. Step 3: Cross multiply
    65,770.80x = 98,429.40 × 39,494.40
  4. Step 4: Simplify right side
    65,770.80x = 3,887,410,095.36
  5. Step 5: Solve for x
    x = 3,887,410,095.36/65,770.80
  6. Step 6: Final answer
    x = 59,105.41

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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.