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Finding the Fourth Proportional to 32,076.71, 44,265.59 and 17,737.17

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Solution

The fourth proportional to 32,076.71, 44,265.59 and 17,737.17 is: 24,477.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,076.71 : 44,265.59 = 17,737.17 : x
  2. Step 2: Convert to fraction form
    32,076.71/44,265.59 = 17,737.17/x
  3. Step 3: Cross multiply
    32,076.71x = 44,265.59 × 17,737.17
  4. Step 4: Simplify right side
    32,076.71x = 785,146,173.33
  5. Step 5: Solve for x
    x = 785,146,173.33/32,076.71
  6. Step 6: Final answer
    x = 24,477.14

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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.