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Finding the Fourth Proportional to 30,920.30, 42,668.86 and 16,772.84

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Solution

The fourth proportional to 30,920.30, 42,668.86 and 16,772.84 is: 23,145.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,920.30 : 42,668.86 = 16,772.84 : x
  2. Step 2: Convert to fraction form
    30,920.30/42,668.86 = 16,772.84/x
  3. Step 3: Cross multiply
    30,920.30x = 42,668.86 × 16,772.84
  4. Step 4: Simplify right side
    30,920.30x = 715,677,961.76
  5. Step 5: Solve for x
    x = 715,677,961.76/30,920.30
  6. Step 6: Final answer
    x = 23,145.89

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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.