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Finding the Fourth Proportional to 30,962.90, 42,728.10 and 16,815.44

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Solution

The fourth proportional to 30,962.90, 42,728.10 and 16,815.44 is: 23,204.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,962.90 : 42,728.10 = 16,815.44 : x
  2. Step 2: Convert to fraction form
    30,962.90/42,728.10 = 16,815.44/x
  3. Step 3: Cross multiply
    30,962.90x = 42,728.10 × 16,815.44
  4. Step 4: Simplify right side
    30,962.90x = 718,491,801.86
  5. Step 5: Solve for x
    x = 718,491,801.86/30,962.90
  6. Step 6: Final answer
    x = 23,204.93

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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.