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Finding the Fourth Proportional to 65,222.41, 97,793.63 and 27,761.15

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Solution

The fourth proportional to 65,222.41, 97,793.63 and 27,761.15 is: 41,624.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,222.41 : 97,793.63 = 27,761.15 : x
  2. Step 2: Convert to fraction form
    65,222.41/97,793.63 = 27,761.15/x
  3. Step 3: Cross multiply
    65,222.41x = 97,793.63 × 27,761.15
  4. Step 4: Simplify right side
    65,222.41x = 2,714,863,631.47
  5. Step 5: Solve for x
    x = 2,714,863,631.47/65,222.41
  6. Step 6: Final answer
    x = 41,624.71

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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.