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Finding the Fourth Proportional to 51,571.52, 71,181.60 and 31,688

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Solution

The fourth proportional to 51,571.52, 71,181.60 and 31,688 is: 43,737.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,571.52 : 71,181.60 = 31,688 : x
  2. Step 2: Convert to fraction form
    51,571.52/71,181.60 = 31,688/x
  3. Step 3: Cross multiply
    51,571.52x = 71,181.60 × 31,688
  4. Step 4: Simplify right side
    51,571.52x = 2,255,602,540.80
  5. Step 5: Solve for x
    x = 2,255,602,540.80/51,571.52
  6. Step 6: Final answer
    x = 43,737.37

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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.