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Finding the Fourth Proportional to 33,023.48, 45,588.08 and 20,930

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Solution

The fourth proportional to 33,023.48, 45,588.08 and 20,930 is: 28,893.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,023.48 : 45,588.08 = 20,930 : x
  2. Step 2: Convert to fraction form
    33,023.48/45,588.08 = 20,930/x
  3. Step 3: Cross multiply
    33,023.48x = 45,588.08 × 20,930
  4. Step 4: Simplify right side
    33,023.48x = 954,158,514.40
  5. Step 5: Solve for x
    x = 954,158,514.40/33,023.48
  6. Step 6: Final answer
    x = 28,893.34

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