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Finding the Fourth Proportional to 38,782.51, 53,514.03 and 21,783.50

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Solution

The fourth proportional to 38,782.51, 53,514.03 and 21,783.50 is: 30,057.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,782.51 : 53,514.03 = 21,783.50 : x
  2. Step 2: Convert to fraction form
    38,782.51/53,514.03 = 21,783.50/x
  3. Step 3: Cross multiply
    38,782.51x = 53,514.03 × 21,783.50
  4. Step 4: Simplify right side
    38,782.51x = 1,165,722,604.93
  5. Step 5: Solve for x
    x = 1,165,722,604.93/38,782.51
  6. Step 6: Final answer
    x = 30,057.95

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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.