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Finding the Fourth Proportional to 38,447.93, 53,048.11 and 22,523.82

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Solution

The fourth proportional to 38,447.93, 53,048.11 and 22,523.82 is: 31,076.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,447.93 : 53,048.11 = 22,523.82 : x
  2. Step 2: Convert to fraction form
    38,447.93/53,048.11 = 22,523.82/x
  3. Step 3: Cross multiply
    38,447.93x = 53,048.11 × 22,523.82
  4. Step 4: Simplify right side
    38,447.93x = 1,194,846,080.98
  5. Step 5: Solve for x
    x = 1,194,846,080.98/38,447.93
  6. Step 6: Final answer
    x = 31,076.99

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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.