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Finding the Fourth Proportional to 31,548.60, 47,224.44 and 23,238

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Solution

The fourth proportional to 31,548.60, 47,224.44 and 23,238 is: 34,784.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,548.60 : 47,224.44 = 23,238 : x
  2. Step 2: Convert to fraction form
    31,548.60/47,224.44 = 23,238/x
  3. Step 3: Cross multiply
    31,548.60x = 47,224.44 × 23,238
  4. Step 4: Simplify right side
    31,548.60x = 1,097,401,536.72
  5. Step 5: Solve for x
    x = 1,097,401,536.72/31,548.60
  6. Step 6: Final answer
    x = 34,784.48

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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.