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Finding the Fourth Proportional to 65,092.89, 97,604.21 and 29,534.81

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Solution

The fourth proportional to 65,092.89, 97,604.21 and 29,534.81 is: 44,286.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,092.89 : 97,604.21 = 29,534.81 : x
  2. Step 2: Convert to fraction form
    65,092.89/97,604.21 = 29,534.81/x
  3. Step 3: Cross multiply
    65,092.89x = 97,604.21 × 29,534.81
  4. Step 4: Simplify right side
    65,092.89x = 2,882,721,161.86
  5. Step 5: Solve for x
    x = 2,882,721,161.86/65,092.89
  6. Step 6: Final answer
    x = 44,286.27

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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.