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Finding the Fourth Proportional to 30,216.32, 45,227.42 and 16,141.14

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Solution

The fourth proportional to 30,216.32, 45,227.42 and 16,141.14 is: 24,159.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,216.32 : 45,227.42 = 16,141.14 : x
  2. Step 2: Convert to fraction form
    30,216.32/45,227.42 = 16,141.14/x
  3. Step 3: Cross multiply
    30,216.32x = 45,227.42 × 16,141.14
  4. Step 4: Simplify right side
    30,216.32x = 730,022,118.06
  5. Step 5: Solve for x
    x = 730,022,118.06/30,216.32
  6. Step 6: Final answer
    x = 24,159.86

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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.