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Finding the Fourth Proportional to 30,025, 45,037.14 and 28,198.18

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Solution

The fourth proportional to 30,025, 45,037.14 and 28,198.18 is: 42,296.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,025 : 45,037.14 = 28,198.18 : x
  2. Step 2: Convert to fraction form
    30,025/45,037.14 = 28,198.18/x
  3. Step 3: Cross multiply
    30,025x = 45,037.14 × 28,198.18
  4. Step 4: Simplify right side
    30,025x = 1,269,965,380.41
  5. Step 5: Solve for x
    x = 1,269,965,380.41/30,025
  6. Step 6: Final answer
    x = 42,296.93

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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.