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Finding the Fourth Proportional to 32,079.75, 44,268.25 and 17,738.74

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Solution

The fourth proportional to 32,079.75, 44,268.25 and 17,738.74 is: 24,478.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,079.75 : 44,268.25 = 17,738.74 : x
  2. Step 2: Convert to fraction form
    32,079.75/44,268.25 = 17,738.74/x
  3. Step 3: Cross multiply
    32,079.75x = 44,268.25 × 17,738.74
  4. Step 4: Simplify right side
    32,079.75x = 785,262,977.01
  5. Step 5: Solve for x
    x = 785,262,977.01/32,079.75
  6. Step 6: Final answer
    x = 24,478.46

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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.