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Finding the Fourth Proportional to 37,127.64, 55,680.42 and 10,824

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Solution

The fourth proportional to 37,127.64, 55,680.42 and 10,824 is: 16,232.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,127.64 : 55,680.42 = 10,824 : x
  2. Step 2: Convert to fraction form
    37,127.64/55,680.42 = 10,824/x
  3. Step 3: Cross multiply
    37,127.64x = 55,680.42 × 10,824
  4. Step 4: Simplify right side
    37,127.64x = 602,684,866.08
  5. Step 5: Solve for x
    x = 602,684,866.08/37,127.64
  6. Step 6: Final answer
    x = 16,232.78

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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.