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Finding the Fourth Proportional to 30,946.50, 42,706.17 and 16,799.46

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Solution

The fourth proportional to 30,946.50, 42,706.17 and 16,799.46 is: 23,183.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,946.50 : 42,706.17 = 16,799.46 : x
  2. Step 2: Convert to fraction form
    30,946.50/42,706.17 = 16,799.46/x
  3. Step 3: Cross multiply
    30,946.50x = 42,706.17 × 16,799.46
  4. Step 4: Simplify right side
    30,946.50x = 717,440,594.67
  5. Step 5: Solve for x
    x = 717,440,594.67/30,946.50
  6. Step 6: Final answer
    x = 23,183.25

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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.