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Finding the Fourth Proportional to 30,922.54, 42,673.23 and 16,775.48

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Solution

The fourth proportional to 30,922.54, 42,673.23 and 16,775.48 is: 23,150.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,922.54 : 42,673.23 = 16,775.48 : x
  2. Step 2: Convert to fraction form
    30,922.54/42,673.23 = 16,775.48/x
  3. Step 3: Cross multiply
    30,922.54x = 42,673.23 × 16,775.48
  4. Step 4: Simplify right side
    30,922.54x = 715,863,832.52
  5. Step 5: Solve for x
    x = 715,863,832.52/30,922.54
  6. Step 6: Final answer
    x = 23,150.23

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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.