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Finding the Fourth Proportional to 65,099.56, 97,640.70 and 18,356.20

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Solution

The fourth proportional to 65,099.56, 97,640.70 and 18,356.20 is: 27,531.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,099.56 : 97,640.70 = 18,356.20 : x
  2. Step 2: Convert to fraction form
    65,099.56/97,640.70 = 18,356.20/x
  3. Step 3: Cross multiply
    65,099.56x = 97,640.70 × 18,356.20
  4. Step 4: Simplify right side
    65,099.56x = 1,792,312,217.34
  5. Step 5: Solve for x
    x = 1,792,312,217.34/65,099.56
  6. Step 6: Final answer
    x = 27,531.86

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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.