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Finding the Fourth Proportional to 65,235.73, 97,825.09 and 23,101.81

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Solution

The fourth proportional to 65,235.73, 97,825.09 and 23,101.81 is: 34,642.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,235.73 : 97,825.09 = 23,101.81 : x
  2. Step 2: Convert to fraction form
    65,235.73/97,825.09 = 23,101.81/x
  3. Step 3: Cross multiply
    65,235.73x = 97,825.09 × 23,101.81
  4. Step 4: Simplify right side
    65,235.73x = 2,259,936,642.41
  5. Step 5: Solve for x
    x = 2,259,936,642.41/65,235.73
  6. Step 6: Final answer
    x = 34,642.62

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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.