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Finding the Fourth Proportional to 32,083.16, 44,273.59 and 22,664.48

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Solution

The fourth proportional to 32,083.16, 44,273.59 and 22,664.48 is: 31,276.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,083.16 : 44,273.59 = 22,664.48 : x
  2. Step 2: Convert to fraction form
    32,083.16/44,273.59 = 22,664.48/x
  3. Step 3: Cross multiply
    32,083.16x = 44,273.59 × 22,664.48
  4. Step 4: Simplify right side
    32,083.16x = 1,003,437,617.05
  5. Step 5: Solve for x
    x = 1,003,437,617.05/32,083.16
  6. Step 6: Final answer
    x = 31,276.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.