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Finding the Fourth Proportional to 65,237.49, 97,895.12 and 23,687.73

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Solution

The fourth proportional to 65,237.49, 97,895.12 and 23,687.73 is: 35,545.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,237.49 : 97,895.12 = 23,687.73 : x
  2. Step 2: Convert to fraction form
    65,237.49/97,895.12 = 23,687.73/x
  3. Step 3: Cross multiply
    65,237.49x = 97,895.12 × 23,687.73
  4. Step 4: Simplify right side
    65,237.49x = 2,318,913,170.88
  5. Step 5: Solve for x
    x = 2,318,913,170.88/65,237.49
  6. Step 6: Final answer
    x = 35,545.71

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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.