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Finding the Fourth Proportional to 30,922.48, 42,672.54 and 16,775.20

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Solution

The fourth proportional to 30,922.48, 42,672.54 and 16,775.20 is: 23,149.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,922.48 : 42,672.54 = 16,775.20 : x
  2. Step 2: Convert to fraction form
    30,922.48/42,672.54 = 16,775.20/x
  3. Step 3: Cross multiply
    30,922.48x = 42,672.54 × 16,775.20
  4. Step 4: Simplify right side
    30,922.48x = 715,840,393.01
  5. Step 5: Solve for x
    x = 715,840,393.01/30,922.48
  6. Step 6: Final answer
    x = 23,149.51

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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.