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Finding the Fourth Proportional to 33,048, 45,608.67 and 20,475.18

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Solution

The fourth proportional to 33,048, 45,608.67 and 20,475.18 is: 28,257.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,048 : 45,608.67 = 20,475.18 : x
  2. Step 2: Convert to fraction form
    33,048/45,608.67 = 20,475.18/x
  3. Step 3: Cross multiply
    33,048x = 45,608.67 × 20,475.18
  4. Step 4: Simplify right side
    33,048x = 933,845,727.81
  5. Step 5: Solve for x
    x = 933,845,727.81/33,048
  6. Step 6: Final answer
    x = 28,257.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.