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Finding the Fourth Proportional to 70,930.50, 97,880.22 and 39,096.90

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Solution

The fourth proportional to 70,930.50, 97,880.22 and 39,096.90 is: 53,951.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,930.50 : 97,880.22 = 39,096.90 : x
  2. Step 2: Convert to fraction form
    70,930.50/97,880.22 = 39,096.90/x
  3. Step 3: Cross multiply
    70,930.50x = 97,880.22 × 39,096.90
  4. Step 4: Simplify right side
    70,930.50x = 3,826,813,173.32
  5. Step 5: Solve for x
    x = 3,826,813,173.32/70,930.50
  6. Step 6: Final answer
    x = 53,951.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.