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Finding the Fourth Proportional to 30,795.42, 42,496.80 and 17,366.54

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Solution

The fourth proportional to 30,795.42, 42,496.80 and 17,366.54 is: 23,965.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,795.42 : 42,496.80 = 17,366.54 : x
  2. Step 2: Convert to fraction form
    30,795.42/42,496.80 = 17,366.54/x
  3. Step 3: Cross multiply
    30,795.42x = 42,496.80 × 17,366.54
  4. Step 4: Simplify right side
    30,795.42x = 738,022,377.07
  5. Step 5: Solve for x
    x = 738,022,377.07/30,795.42
  6. Step 6: Final answer
    x = 23,965.33

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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.