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Finding the Fourth Proportional to 65,298, 97,968.96 and 27,856.56

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Solution

The fourth proportional to 65,298, 97,968.96 and 27,856.56 is: 41,794.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,298 : 97,968.96 = 27,856.56 : x
  2. Step 2: Convert to fraction form
    65,298/97,968.96 = 27,856.56/x
  3. Step 3: Cross multiply
    65,298x = 97,968.96 × 27,856.56
  4. Step 4: Simplify right side
    65,298x = 2,729,078,212.38
  5. Step 5: Solve for x
    x = 2,729,078,212.38/65,298
  6. Step 6: Final answer
    x = 41,794.21

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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.