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Finding the Fourth Proportional to 33,583.16, 50,374.77 and 12,522.87

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Solution

The fourth proportional to 33,583.16, 50,374.77 and 12,522.87 is: 18,784.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,583.16 : 50,374.77 = 12,522.87 : x
  2. Step 2: Convert to fraction form
    33,583.16/50,374.77 = 12,522.87/x
  3. Step 3: Cross multiply
    33,583.16x = 50,374.77 × 12,522.87
  4. Step 4: Simplify right side
    33,583.16x = 630,836,695.99
  5. Step 5: Solve for x
    x = 630,836,695.99/33,583.16
  6. Step 6: Final answer
    x = 18,784.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.