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Finding the Fourth Proportional to 32,175.60, 44,319.24 and 22,727.76

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Solution

The fourth proportional to 32,175.60, 44,319.24 and 22,727.76 is: 31,305.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,175.60 : 44,319.24 = 22,727.76 : x
  2. Step 2: Convert to fraction form
    32,175.60/44,319.24 = 22,727.76/x
  3. Step 3: Cross multiply
    32,175.60x = 44,319.24 × 22,727.76
  4. Step 4: Simplify right side
    32,175.60x = 1,007,277,050.10
  5. Step 5: Solve for x
    x = 1,007,277,050.10/32,175.60
  6. Step 6: Final answer
    x = 31,305.62

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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.