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Finding the Fourth Proportional to 32,083.46, 44,276.11 and 17,743.72

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Solution

The fourth proportional to 32,083.46, 44,276.11 and 17,743.72 is: 24,486.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,083.46 : 44,276.11 = 17,743.72 : x
  2. Step 2: Convert to fraction form
    32,083.46/44,276.11 = 17,743.72/x
  3. Step 3: Cross multiply
    32,083.46x = 44,276.11 × 17,743.72
  4. Step 4: Simplify right side
    32,083.46x = 785,622,854.17
  5. Step 5: Solve for x
    x = 785,622,854.17/32,083.46
  6. Step 6: Final answer
    x = 24,486.85

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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.