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Finding the Fourth Proportional to 30,808.96, 46,208.36 and 11,083.84

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Solution

The fourth proportional to 30,808.96, 46,208.36 and 11,083.84 is: 16,623.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,808.96 : 46,208.36 = 11,083.84 : x
  2. Step 2: Convert to fraction form
    30,808.96/46,208.36 = 11,083.84/x
  3. Step 3: Cross multiply
    30,808.96x = 46,208.36 × 11,083.84
  4. Step 4: Simplify right side
    30,808.96x = 512,166,068.90
  5. Step 5: Solve for x
    x = 512,166,068.90/30,808.96
  6. Step 6: Final answer
    x = 16,623.93

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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.