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Finding the Fourth Proportional to 30,355.82, 45,533.52 and 8,167.34

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Solution

The fourth proportional to 30,355.82, 45,533.52 and 8,167.34 is: 12,250.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,355.82 : 45,533.52 = 8,167.34 : x
  2. Step 2: Convert to fraction form
    30,355.82/45,533.52 = 8,167.34/x
  3. Step 3: Cross multiply
    30,355.82x = 45,533.52 × 8,167.34
  4. Step 4: Simplify right side
    30,355.82x = 371,887,739.24
  5. Step 5: Solve for x
    x = 371,887,739.24/30,355.82
  6. Step 6: Final answer
    x = 12,250.95

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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.