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Finding the Fourth Proportional to 40,012, 55,216.56 and 22,348

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Solution

The fourth proportional to 40,012, 55,216.56 and 22,348 is: 30,840.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,012 : 55,216.56 = 22,348 : x
  2. Step 2: Convert to fraction form
    40,012/55,216.56 = 22,348/x
  3. Step 3: Cross multiply
    40,012x = 55,216.56 × 22,348
  4. Step 4: Simplify right side
    40,012x = 1,233,979,682.88
  5. Step 5: Solve for x
    x = 1,233,979,682.88/40,012
  6. Step 6: Final answer
    x = 30,840.24

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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.