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Finding the Fourth Proportional to 33,189.12, 49,782.06 and 12,411

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Solution

The fourth proportional to 33,189.12, 49,782.06 and 12,411 is: 18,615.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,189.12 : 49,782.06 = 12,411 : x
  2. Step 2: Convert to fraction form
    33,189.12/49,782.06 = 12,411/x
  3. Step 3: Cross multiply
    33,189.12x = 49,782.06 × 12,411
  4. Step 4: Simplify right side
    33,189.12x = 617,845,146.66
  5. Step 5: Solve for x
    x = 617,845,146.66/33,189.12
  6. Step 6: Final answer
    x = 18,615.89

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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.