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Finding the Fourth Proportional to 30,199.26, 45,301.10 and 8,012.14

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Solution

The fourth proportional to 30,199.26, 45,301.10 and 8,012.14 is: 12,018.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,199.26 : 45,301.10 = 8,012.14 : x
  2. Step 2: Convert to fraction form
    30,199.26/45,301.10 = 8,012.14/x
  3. Step 3: Cross multiply
    30,199.26x = 45,301.10 × 8,012.14
  4. Step 4: Simplify right side
    30,199.26x = 362,958,755.35
  5. Step 5: Solve for x
    x = 362,958,755.35/30,199.26
  6. Step 6: Final answer
    x = 12,018.80

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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.