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Finding the Fourth Proportional to 31,008.72, 42,777 and 18,424.56

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Solution

The fourth proportional to 31,008.72, 42,777 and 18,424.56 is: 25,416.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,008.72 : 42,777 = 18,424.56 : x
  2. Step 2: Convert to fraction form
    31,008.72/42,777 = 18,424.56/x
  3. Step 3: Cross multiply
    31,008.72x = 42,777 × 18,424.56
  4. Step 4: Simplify right side
    31,008.72x = 788,147,403.12
  5. Step 5: Solve for x
    x = 788,147,403.12/31,008.72
  6. Step 6: Final answer
    x = 25,416.96

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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.