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Finding the Fourth Proportional to 38,782.54, 53,516.90 and 21,781.36

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Solution

The fourth proportional to 38,782.54, 53,516.90 and 21,781.36 is: 30,056.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,782.54 : 53,516.90 = 21,781.36 : x
  2. Step 2: Convert to fraction form
    38,782.54/53,516.90 = 21,781.36/x
  3. Step 3: Cross multiply
    38,782.54x = 53,516.90 × 21,781.36
  4. Step 4: Simplify right side
    38,782.54x = 1,165,670,864.98
  5. Step 5: Solve for x
    x = 1,165,670,864.98/38,782.54
  6. Step 6: Final answer
    x = 30,056.59

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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.