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Finding the Fourth Proportional to 30,946.55, 42,706.22 and 16,799.40

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Solution

The fourth proportional to 30,946.55, 42,706.22 and 16,799.40 is: 23,183.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,946.55 : 42,706.22 = 16,799.40 : x
  2. Step 2: Convert to fraction form
    30,946.55/42,706.22 = 16,799.40/x
  3. Step 3: Cross multiply
    30,946.55x = 42,706.22 × 16,799.40
  4. Step 4: Simplify right side
    30,946.55x = 717,438,788.27
  5. Step 5: Solve for x
    x = 717,438,788.27/30,946.55
  6. Step 6: Final answer
    x = 23,183.16

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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.