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Finding the Fourth Proportional to 65,222.81, 97,878.05 and 23,102.73

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Solution

The fourth proportional to 65,222.81, 97,878.05 and 23,102.73 is: 34,669.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,222.81 : 97,878.05 = 23,102.73 : x
  2. Step 2: Convert to fraction form
    65,222.81/97,878.05 = 23,102.73/x
  3. Step 3: Cross multiply
    65,222.81x = 97,878.05 × 23,102.73
  4. Step 4: Simplify right side
    65,222.81x = 2,261,250,046.56
  5. Step 5: Solve for x
    x = 2,261,250,046.56/65,222.81
  6. Step 6: Final answer
    x = 34,669.62

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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.