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Finding the Fourth Proportional to 59,320, 81,861.60 and 32,824

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Solution

The fourth proportional to 59,320, 81,861.60 and 32,824 is: 45,297.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,320 : 81,861.60 = 32,824 : x
  2. Step 2: Convert to fraction form
    59,320/81,861.60 = 32,824/x
  3. Step 3: Cross multiply
    59,320x = 81,861.60 × 32,824
  4. Step 4: Simplify right side
    59,320x = 2,687,025,158.40
  5. Step 5: Solve for x
    x = 2,687,025,158.40/59,320
  6. Step 6: Final answer
    x = 45,297.12

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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.