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Finding the Fourth Proportional to 32,082.77, 44,270.34 and 17,740.64

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Solution

The fourth proportional to 32,082.77, 44,270.34 and 17,740.64 is: 24,479.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,082.77 : 44,270.34 = 17,740.64 : x
  2. Step 2: Convert to fraction form
    32,082.77/44,270.34 = 17,740.64/x
  3. Step 3: Cross multiply
    32,082.77x = 44,270.34 × 17,740.64
  4. Step 4: Simplify right side
    32,082.77x = 785,383,943.27
  5. Step 5: Solve for x
    x = 785,383,943.27/32,082.77
  6. Step 6: Final answer
    x = 24,479.93

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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.