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Finding the Fourth Proportional to 65,150.73, 97,724.27 and 27,692.01

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Solution

The fourth proportional to 65,150.73, 97,724.27 and 27,692.01 is: 41,537.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,150.73 : 97,724.27 = 27,692.01 : x
  2. Step 2: Convert to fraction form
    65,150.73/97,724.27 = 27,692.01/x
  3. Step 3: Cross multiply
    65,150.73x = 97,724.27 × 27,692.01
  4. Step 4: Simplify right side
    65,150.73x = 2,706,181,462.08
  5. Step 5: Solve for x
    x = 2,706,181,462.08/65,150.73
  6. Step 6: Final answer
    x = 41,537.24

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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.