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Finding the Fourth Proportional to 30,942.14, 42,700.20 and 16,794.98

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Solution

The fourth proportional to 30,942.14, 42,700.20 and 16,794.98 is: 23,177.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,942.14 : 42,700.20 = 16,794.98 : x
  2. Step 2: Convert to fraction form
    30,942.14/42,700.20 = 16,794.98/x
  3. Step 3: Cross multiply
    30,942.14x = 42,700.20 × 16,794.98
  4. Step 4: Simplify right side
    30,942.14x = 717,149,005.00
  5. Step 5: Solve for x
    x = 717,149,005.00/30,942.14
  6. Step 6: Final answer
    x = 23,177.10

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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.