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Finding the Fourth Proportional to 30,922.64, 42,673.36 and 16,775.52

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Solution

The fourth proportional to 30,922.64, 42,673.36 and 16,775.52 is: 23,150.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,922.64 : 42,673.36 = 16,775.52 : x
  2. Step 2: Convert to fraction form
    30,922.64/42,673.36 = 16,775.52/x
  3. Step 3: Cross multiply
    30,922.64x = 42,673.36 × 16,775.52
  4. Step 4: Simplify right side
    30,922.64x = 715,867,804.15
  5. Step 5: Solve for x
    x = 715,867,804.15/30,922.64
  6. Step 6: Final answer
    x = 23,150.28

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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.