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Finding the Fourth Proportional to 64,505.25, 96,723 and 22,382.28

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Solution

The fourth proportional to 64,505.25, 96,723 and 22,382.28 is: 33,561.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,505.25 : 96,723 = 22,382.28 : x
  2. Step 2: Convert to fraction form
    64,505.25/96,723 = 22,382.28/x
  3. Step 3: Cross multiply
    64,505.25x = 96,723 × 22,382.28
  4. Step 4: Simplify right side
    64,505.25x = 2,164,881,268.44
  5. Step 5: Solve for x
    x = 2,164,881,268.44/64,505.25
  6. Step 6: Final answer
    x = 33,561.32

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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.