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Finding the Fourth Proportional to 36,106.56, 54,144 and 16,384.32

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Solution

The fourth proportional to 36,106.56, 54,144 and 16,384.32 is: 24,569.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,106.56 : 54,144 = 16,384.32 : x
  2. Step 2: Convert to fraction form
    36,106.56/54,144 = 16,384.32/x
  3. Step 3: Cross multiply
    36,106.56x = 54,144 × 16,384.32
  4. Step 4: Simplify right side
    36,106.56x = 887,112,622.08
  5. Step 5: Solve for x
    x = 887,112,622.08/36,106.56
  6. Step 6: Final answer
    x = 24,569.29

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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.