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Finding the Fourth Proportional to 65,144.60, 97,727.70 and 27,722.60

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Solution

The fourth proportional to 65,144.60, 97,727.70 and 27,722.60 is: 41,588.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,144.60 : 97,727.70 = 27,722.60 : x
  2. Step 2: Convert to fraction form
    65,144.60/97,727.70 = 27,722.60/x
  3. Step 3: Cross multiply
    65,144.60x = 97,727.70 × 27,722.60
  4. Step 4: Simplify right side
    65,144.60x = 2,709,265,936.02
  5. Step 5: Solve for x
    x = 2,709,265,936.02/65,144.60
  6. Step 6: Final answer
    x = 41,588.50

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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.