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Finding the Fourth Proportional to 32,536.32, 44,895.16 and 18,384

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Solution

The fourth proportional to 32,536.32, 44,895.16 and 18,384 is: 25,367.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,536.32 : 44,895.16 = 18,384 : x
  2. Step 2: Convert to fraction form
    32,536.32/44,895.16 = 18,384/x
  3. Step 3: Cross multiply
    32,536.32x = 44,895.16 × 18,384
  4. Step 4: Simplify right side
    32,536.32x = 825,352,621.44
  5. Step 5: Solve for x
    x = 825,352,621.44/32,536.32
  6. Step 6: Final answer
    x = 25,367.12

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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.