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Finding the Fourth Proportional to 30,197.26, 45,298.10 and 8,010.14

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Solution

The fourth proportional to 30,197.26, 45,298.10 and 8,010.14 is: 12,015.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,197.26 : 45,298.10 = 8,010.14 : x
  2. Step 2: Convert to fraction form
    30,197.26/45,298.10 = 8,010.14/x
  3. Step 3: Cross multiply
    30,197.26x = 45,298.10 × 8,010.14
  4. Step 4: Simplify right side
    30,197.26x = 362,844,082.68
  5. Step 5: Solve for x
    x = 362,844,082.68/30,197.26
  6. Step 6: Final answer
    x = 12,015.80

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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.