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Finding the Fourth Proportional to 77,310.40, 115,965.60 and 65,646.40

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Solution

The fourth proportional to 77,310.40, 115,965.60 and 65,646.40 is: 98,469.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,310.40 : 115,965.60 = 65,646.40 : x
  2. Step 2: Convert to fraction form
    77,310.40/115,965.60 = 65,646.40/x
  3. Step 3: Cross multiply
    77,310.40x = 115,965.60 × 65,646.40
  4. Step 4: Simplify right side
    77,310.40x = 7,612,724,163.84
  5. Step 5: Solve for x
    x = 7,612,724,163.84/77,310.40
  6. Step 6: Final answer
    x = 98,469.60

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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.