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Finding the Fourth Proportional to 30,221.49, 45,341.29 and 12,200.44

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Solution

The fourth proportional to 30,221.49, 45,341.29 and 12,200.44 is: 18,304.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,221.49 : 45,341.29 = 12,200.44 : x
  2. Step 2: Convert to fraction form
    30,221.49/45,341.29 = 12,200.44/x
  3. Step 3: Cross multiply
    30,221.49x = 45,341.29 × 12,200.44
  4. Step 4: Simplify right side
    30,221.49x = 553,183,805.04
  5. Step 5: Solve for x
    x = 553,183,805.04/30,221.49
  6. Step 6: Final answer
    x = 18,304.32

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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.