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Finding the Fourth Proportional to 33,131.52, 49,697.05 and 13,409.79

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Solution

The fourth proportional to 33,131.52, 49,697.05 and 13,409.79 is: 20,114.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,131.52 : 49,697.05 = 13,409.79 : x
  2. Step 2: Convert to fraction form
    33,131.52/49,697.05 = 13,409.79/x
  3. Step 3: Cross multiply
    33,131.52x = 49,697.05 × 13,409.79
  4. Step 4: Simplify right side
    33,131.52x = 666,426,971.89
  5. Step 5: Solve for x
    x = 666,426,971.89/33,131.52
  6. Step 6: Final answer
    x = 20,114.59

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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.