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Finding the Fourth Proportional to 33,152.23, 45,751.07 and 20,412.77

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Solution

The fourth proportional to 33,152.23, 45,751.07 and 20,412.77 is: 28,170.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,152.23 : 45,751.07 = 20,412.77 : x
  2. Step 2: Convert to fraction form
    33,152.23/45,751.07 = 20,412.77/x
  3. Step 3: Cross multiply
    33,152.23x = 45,751.07 × 20,412.77
  4. Step 4: Simplify right side
    33,152.23x = 933,905,789.38
  5. Step 5: Solve for x
    x = 933,905,789.38/33,152.23
  6. Step 6: Final answer
    x = 28,170.22

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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.