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Finding the Fourth Proportional to 30,580.21, 45,874.88 and 10,857.12

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Solution

The fourth proportional to 30,580.21, 45,874.88 and 10,857.12 is: 16,287.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,580.21 : 45,874.88 = 10,857.12 : x
  2. Step 2: Convert to fraction form
    30,580.21/45,874.88 = 10,857.12/x
  3. Step 3: Cross multiply
    30,580.21x = 45,874.88 × 10,857.12
  4. Step 4: Simplify right side
    30,580.21x = 498,068,793.49
  5. Step 5: Solve for x
    x = 498,068,793.49/30,580.21
  6. Step 6: Final answer
    x = 16,287.29

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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.