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Finding the Fourth Proportional to 38,781.54, 53,518.86 and 21,786.12

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Solution

The fourth proportional to 38,781.54, 53,518.86 and 21,786.12 is: 30,065.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,781.54 : 53,518.86 = 21,786.12 : x
  2. Step 2: Convert to fraction form
    38,781.54/53,518.86 = 21,786.12/x
  3. Step 3: Cross multiply
    38,781.54x = 53,518.86 × 21,786.12
  4. Step 4: Simplify right side
    38,781.54x = 1,165,968,306.22
  5. Step 5: Solve for x
    x = 1,165,968,306.22/38,781.54
  6. Step 6: Final answer
    x = 30,065.03

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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.