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Finding the Fourth Proportional to 65,138.40, 97,634.70 and 27,692.10

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Solution

The fourth proportional to 65,138.40, 97,634.70 and 27,692.10 is: 41,507.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,138.40 : 97,634.70 = 27,692.10 : x
  2. Step 2: Convert to fraction form
    65,138.40/97,634.70 = 27,692.10/x
  3. Step 3: Cross multiply
    65,138.40x = 97,634.70 × 27,692.10
  4. Step 4: Simplify right side
    65,138.40x = 2,703,709,875.87
  5. Step 5: Solve for x
    x = 2,703,709,875.87/65,138.40
  6. Step 6: Final answer
    x = 41,507.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.