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Finding the Fourth Proportional to 32,012.88, 44,127.24 and 22,566.48

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Solution

The fourth proportional to 32,012.88, 44,127.24 and 22,566.48 is: 31,106.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,012.88 : 44,127.24 = 22,566.48 : x
  2. Step 2: Convert to fraction form
    32,012.88/44,127.24 = 22,566.48/x
  3. Step 3: Cross multiply
    32,012.88x = 44,127.24 × 22,566.48
  4. Step 4: Simplify right side
    32,012.88x = 995,796,478.92
  5. Step 5: Solve for x
    x = 995,796,478.92/32,012.88
  6. Step 6: Final answer
    x = 31,106.12

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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.