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Finding the Fourth Proportional to 65,137.70, 97,638.15 and 41,463.38

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Solution

The fourth proportional to 65,137.70, 97,638.15 and 41,463.38 is: 62,151.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,137.70 : 97,638.15 = 41,463.38 : x
  2. Step 2: Convert to fraction form
    65,137.70/97,638.15 = 41,463.38/x
  3. Step 3: Cross multiply
    65,137.70x = 97,638.15 × 41,463.38
  4. Step 4: Simplify right side
    65,137.70x = 4,048,407,715.95
  5. Step 5: Solve for x
    x = 4,048,407,715.95/65,137.70
  6. Step 6: Final answer
    x = 62,151.53

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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.