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Finding the Fourth Proportional to 69,197.25, 103,840.02 and 24,823.02

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Solution

The fourth proportional to 69,197.25, 103,840.02 and 24,823.02 is: 37,250.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,197.25 : 103,840.02 = 24,823.02 : x
  2. Step 2: Convert to fraction form
    69,197.25/103,840.02 = 24,823.02/x
  3. Step 3: Cross multiply
    69,197.25x = 103,840.02 × 24,823.02
  4. Step 4: Simplify right side
    69,197.25x = 2,577,622,893.26
  5. Step 5: Solve for x
    x = 2,577,622,893.26/69,197.25
  6. Step 6: Final answer
    x = 37,250.37

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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.