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Finding the Fourth Proportional to 32,441, 44,768.64 and 17,537

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Solution

The fourth proportional to 32,441, 44,768.64 and 17,537 is: 24,201.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,441 : 44,768.64 = 17,537 : x
  2. Step 2: Convert to fraction form
    32,441/44,768.64 = 17,537/x
  3. Step 3: Cross multiply
    32,441x = 44,768.64 × 17,537
  4. Step 4: Simplify right side
    32,441x = 785,107,639.68
  5. Step 5: Solve for x
    x = 785,107,639.68/32,441
  6. Step 6: Final answer
    x = 24,201.09

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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.