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Finding the Fourth Proportional to 69,102.48, 103,704.96 and 51,374.16

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Solution

The fourth proportional to 69,102.48, 103,704.96 and 51,374.16 is: 77,099.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,102.48 : 103,704.96 = 51,374.16 : x
  2. Step 2: Convert to fraction form
    69,102.48/103,704.96 = 51,374.16/x
  3. Step 3: Cross multiply
    69,102.48x = 103,704.96 × 51,374.16
  4. Step 4: Simplify right side
    69,102.48x = 5,327,755,207.83
  5. Step 5: Solve for x
    x = 5,327,755,207.83/69,102.48
  6. Step 6: Final answer
    x = 77,099.33

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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.