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Finding the Fourth Proportional to 32,509.14, 44,862.60 and 17,605.14

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Solution

The fourth proportional to 32,509.14, 44,862.60 and 17,605.14 is: 24,295.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,509.14 : 44,862.60 = 17,605.14 : x
  2. Step 2: Convert to fraction form
    32,509.14/44,862.60 = 17,605.14/x
  3. Step 3: Cross multiply
    32,509.14x = 44,862.60 × 17,605.14
  4. Step 4: Simplify right side
    32,509.14x = 789,812,353.76
  5. Step 5: Solve for x
    x = 789,812,353.76/32,509.14
  6. Step 6: Final answer
    x = 24,295.09

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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.