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Finding the Fourth Proportional to 32,116.73, 44,320.16 and 17,777.15

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Solution

The fourth proportional to 32,116.73, 44,320.16 and 17,777.15 is: 24,531.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,116.73 : 44,320.16 = 17,777.15 : x
  2. Step 2: Convert to fraction form
    32,116.73/44,320.16 = 17,777.15/x
  3. Step 3: Cross multiply
    32,116.73x = 44,320.16 × 17,777.15
  4. Step 4: Simplify right side
    32,116.73x = 787,886,121.39
  5. Step 5: Solve for x
    x = 787,886,121.39/32,116.73
  6. Step 6: Final answer
    x = 24,531.96

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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.