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Finding the Fourth Proportional to 30,295.11, 45,442 and 8,108.49

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Solution

The fourth proportional to 30,295.11, 45,442 and 8,108.49 is: 12,162.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,295.11 : 45,442 = 8,108.49 : x
  2. Step 2: Convert to fraction form
    30,295.11/45,442 = 8,108.49/x
  3. Step 3: Cross multiply
    30,295.11x = 45,442 × 8,108.49
  4. Step 4: Simplify right side
    30,295.11x = 368,466,002.58
  5. Step 5: Solve for x
    x = 368,466,002.58/30,295.11
  6. Step 6: Final answer
    x = 12,162.56

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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.