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Finding the Fourth Proportional to 31,509.72, 47,125.08 and 28,024.26

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Solution

The fourth proportional to 31,509.72, 47,125.08 and 28,024.26 is: 41,912.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,509.72 : 47,125.08 = 28,024.26 : x
  2. Step 2: Convert to fraction form
    31,509.72/47,125.08 = 28,024.26/x
  3. Step 3: Cross multiply
    31,509.72x = 47,125.08 × 28,024.26
  4. Step 4: Simplify right side
    31,509.72x = 1,320,645,494.44
  5. Step 5: Solve for x
    x = 1,320,645,494.44/31,509.72
  6. Step 6: Final answer
    x = 41,912.32

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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.