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Finding the Fourth Proportional to 30,942.58, 42,701.31 and 16,795.42

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Solution

The fourth proportional to 30,942.58, 42,701.31 and 16,795.42 is: 23,177.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,942.58 : 42,701.31 = 16,795.42 : x
  2. Step 2: Convert to fraction form
    30,942.58/42,701.31 = 16,795.42/x
  3. Step 3: Cross multiply
    30,942.58x = 42,701.31 × 16,795.42
  4. Step 4: Simplify right side
    30,942.58x = 717,186,436.00
  5. Step 5: Solve for x
    x = 717,186,436.00/30,942.58
  6. Step 6: Final answer
    x = 23,177.98

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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.