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Finding the Fourth Proportional to 68,825.37, 103,168.32 and 46,641

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Solution

The fourth proportional to 68,825.37, 103,168.32 and 46,641 is: 69,914.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,825.37 : 103,168.32 = 46,641 : x
  2. Step 2: Convert to fraction form
    68,825.37/103,168.32 = 46,641/x
  3. Step 3: Cross multiply
    68,825.37x = 103,168.32 × 46,641
  4. Step 4: Simplify right side
    68,825.37x = 4,811,873,613.12
  5. Step 5: Solve for x
    x = 4,811,873,613.12/68,825.37
  6. Step 6: Final answer
    x = 69,914.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.