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Finding the Fourth Proportional to 69,142.66, 103,747.86 and 24,772.84

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Solution

The fourth proportional to 69,142.66, 103,747.86 and 24,772.84 is: 37,171.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,142.66 : 103,747.86 = 24,772.84 : x
  2. Step 2: Convert to fraction form
    69,142.66/103,747.86 = 24,772.84/x
  3. Step 3: Cross multiply
    69,142.66x = 103,747.86 × 24,772.84
  4. Step 4: Simplify right side
    69,142.66x = 2,570,129,136.12
  5. Step 5: Solve for x
    x = 2,570,129,136.12/69,142.66
  6. Step 6: Final answer
    x = 37,171.40

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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.