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Finding the Fourth Proportional to 78,631, 117,946.50 and 23,225.56

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Solution

The fourth proportional to 78,631, 117,946.50 and 23,225.56 is: 34,838.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,631 : 117,946.50 = 23,225.56 : x
  2. Step 2: Convert to fraction form
    78,631/117,946.50 = 23,225.56/x
  3. Step 3: Cross multiply
    78,631x = 117,946.50 × 23,225.56
  4. Step 4: Simplify right side
    78,631x = 2,739,373,512.54
  5. Step 5: Solve for x
    x = 2,739,373,512.54/78,631
  6. Step 6: Final answer
    x = 34,838.34

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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.