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Finding the Fourth Proportional to 37,857.86, 56,743.74 and 23,034.11

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Solution

The fourth proportional to 37,857.86, 56,743.74 and 23,034.11 is: 34,524.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,857.86 : 56,743.74 = 23,034.11 : x
  2. Step 2: Convert to fraction form
    37,857.86/56,743.74 = 23,034.11/x
  3. Step 3: Cross multiply
    37,857.86x = 56,743.74 × 23,034.11
  4. Step 4: Simplify right side
    37,857.86x = 1,307,041,548.97
  5. Step 5: Solve for x
    x = 1,307,041,548.97/37,857.86
  6. Step 6: Final answer
    x = 34,524.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.