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Finding the Fourth Proportional to 71,383.40, 106,844.70 and 65,853.80

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Solution

The fourth proportional to 71,383.40, 106,844.70 and 65,853.80 is: 98,568.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,383.40 : 106,844.70 = 65,853.80 : x
  2. Step 2: Convert to fraction form
    71,383.40/106,844.70 = 65,853.80/x
  3. Step 3: Cross multiply
    71,383.40x = 106,844.70 × 65,853.80
  4. Step 4: Simplify right side
    71,383.40x = 7,036,129,504.86
  5. Step 5: Solve for x
    x = 7,036,129,504.86/71,383.40
  6. Step 6: Final answer
    x = 98,568.15

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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.