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Finding the Fourth Proportional to 30,797.52, 46,196.04 and 15,998.80

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Solution

The fourth proportional to 30,797.52, 46,196.04 and 15,998.80 is: 23,998.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,797.52 : 46,196.04 = 15,998.80 : x
  2. Step 2: Convert to fraction form
    30,797.52/46,196.04 = 15,998.80/x
  3. Step 3: Cross multiply
    30,797.52x = 46,196.04 × 15,998.80
  4. Step 4: Simplify right side
    30,797.52x = 739,081,204.75
  5. Step 5: Solve for x
    x = 739,081,204.75/30,797.52
  6. Step 6: Final answer
    x = 23,998.08

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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.