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Finding the Fourth Proportional to 30,967.90, 42,735 and 16,820.44

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Solution

The fourth proportional to 30,967.90, 42,735 and 16,820.44 is: 23,211.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,967.90 : 42,735 = 16,820.44 : x
  2. Step 2: Convert to fraction form
    30,967.90/42,735 = 16,820.44/x
  3. Step 3: Cross multiply
    30,967.90x = 42,735 × 16,820.44
  4. Step 4: Simplify right side
    30,967.90x = 718,821,503.40
  5. Step 5: Solve for x
    x = 718,821,503.40/30,967.90
  6. Step 6: Final answer
    x = 23,211.83

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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.