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Finding the Fourth Proportional to 33,139.48, 49,707.86 and 13,418.20

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Solution

The fourth proportional to 33,139.48, 49,707.86 and 13,418.20 is: 20,126.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,139.48 : 49,707.86 = 13,418.20 : x
  2. Step 2: Convert to fraction form
    33,139.48/49,707.86 = 13,418.20/x
  3. Step 3: Cross multiply
    33,139.48x = 49,707.86 × 13,418.20
  4. Step 4: Simplify right side
    33,139.48x = 666,990,007.05
  5. Step 5: Solve for x
    x = 666,990,007.05/33,139.48
  6. Step 6: Final answer
    x = 20,126.75

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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.