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Finding the Fourth Proportional to 30,160, 41,620.71 and 18,221.10

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Solution

The fourth proportional to 30,160, 41,620.71 and 18,221.10 is: 25,145.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,160 : 41,620.71 = 18,221.10 : x
  2. Step 2: Convert to fraction form
    30,160/41,620.71 = 18,221.10/x
  3. Step 3: Cross multiply
    30,160x = 41,620.71 × 18,221.10
  4. Step 4: Simplify right side
    30,160x = 758,375,118.98
  5. Step 5: Solve for x
    x = 758,375,118.98/30,160
  6. Step 6: Final answer
    x = 25,145.06

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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.