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Finding the Fourth Proportional to 38,782.82, 53,520.26 and 22,015.82

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Solution

The fourth proportional to 38,782.82, 53,520.26 and 22,015.82 is: 30,381.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,782.82 : 53,520.26 = 22,015.82 : x
  2. Step 2: Convert to fraction form
    38,782.82/53,520.26 = 22,015.82/x
  3. Step 3: Cross multiply
    38,782.82x = 53,520.26 × 22,015.82
  4. Step 4: Simplify right side
    38,782.82x = 1,178,292,032.83
  5. Step 5: Solve for x
    x = 1,178,292,032.83/38,782.82
  6. Step 6: Final answer
    x = 30,381.81

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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.