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Finding the Fourth Proportional to 30,808.36, 46,212.54 and 12,097.21

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Solution

The fourth proportional to 30,808.36, 46,212.54 and 12,097.21 is: 18,145.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,808.36 : 46,212.54 = 12,097.21 : x
  2. Step 2: Convert to fraction form
    30,808.36/46,212.54 = 12,097.21/x
  3. Step 3: Cross multiply
    30,808.36x = 46,212.54 × 12,097.21
  4. Step 4: Simplify right side
    30,808.36x = 559,042,801.01
  5. Step 5: Solve for x
    x = 559,042,801.01/30,808.36
  6. Step 6: Final answer
    x = 18,145.82

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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.