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Finding the Fourth Proportional to 30,797.68, 46,202.28 and 12,331.12

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Solution

The fourth proportional to 30,797.68, 46,202.28 and 12,331.12 is: 18,498.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,797.68 : 46,202.28 = 12,331.12 : x
  2. Step 2: Convert to fraction form
    30,797.68/46,202.28 = 12,331.12/x
  3. Step 3: Cross multiply
    30,797.68x = 46,202.28 × 12,331.12
  4. Step 4: Simplify right side
    30,797.68x = 569,725,858.95
  5. Step 5: Solve for x
    x = 569,725,858.95/30,797.68
  6. Step 6: Final answer
    x = 18,498.99

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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.