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Finding the Fourth Proportional to 69,771.86, 104,657.87 and 25,398.98

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Solution

The fourth proportional to 69,771.86, 104,657.87 and 25,398.98 is: 38,098.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,771.86 : 104,657.87 = 25,398.98 : x
  2. Step 2: Convert to fraction form
    69,771.86/104,657.87 = 25,398.98/x
  3. Step 3: Cross multiply
    69,771.86x = 104,657.87 × 25,398.98
  4. Step 4: Simplify right side
    69,771.86x = 2,658,203,146.97
  5. Step 5: Solve for x
    x = 2,658,203,146.97/69,771.86
  6. Step 6: Final answer
    x = 38,098.50

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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.