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Finding the Fourth Proportional to 73,671.28, 110,584.22 and 65,291.40

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Solution

The fourth proportional to 73,671.28, 110,584.22 and 65,291.40 is: 98,005.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,671.28 : 110,584.22 = 65,291.40 : x
  2. Step 2: Convert to fraction form
    73,671.28/110,584.22 = 65,291.40/x
  3. Step 3: Cross multiply
    73,671.28x = 110,584.22 × 65,291.40
  4. Step 4: Simplify right side
    73,671.28x = 7,220,198,215.25
  5. Step 5: Solve for x
    x = 7,220,198,215.25/73,671.28
  6. Step 6: Final answer
    x = 98,005.60

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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.