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Finding the Fourth Proportional to 30,922.47, 42,672.96 and 16,775.31

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Solution

The fourth proportional to 30,922.47, 42,672.96 and 16,775.31 is: 23,149.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,922.47 : 42,672.96 = 16,775.31 : x
  2. Step 2: Convert to fraction form
    30,922.47/42,672.96 = 16,775.31/x
  3. Step 3: Cross multiply
    30,922.47x = 42,672.96 × 16,775.31
  4. Step 4: Simplify right side
    30,922.47x = 715,852,132.62
  5. Step 5: Solve for x
    x = 715,852,132.62/30,922.47
  6. Step 6: Final answer
    x = 23,149.90

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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.