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Finding the Fourth Proportional to 64,711.49, 97,102.11 and 27,297.50

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Solution

The fourth proportional to 64,711.49, 97,102.11 and 27,297.50 is: 40,960.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,711.49 : 97,102.11 = 27,297.50 : x
  2. Step 2: Convert to fraction form
    64,711.49/97,102.11 = 27,297.50/x
  3. Step 3: Cross multiply
    64,711.49x = 97,102.11 × 27,297.50
  4. Step 4: Simplify right side
    64,711.49x = 2,650,644,362.21
  5. Step 5: Solve for x
    x = 2,650,644,362.21/64,711.49
  6. Step 6: Final answer
    x = 40,960.96

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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.