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Finding the Fourth Proportional to 30,962.50, 42,728.46 and 16,815.34

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Solution

The fourth proportional to 30,962.50, 42,728.46 and 16,815.34 is: 23,205.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,962.50 : 42,728.46 = 16,815.34 : x
  2. Step 2: Convert to fraction form
    30,962.50/42,728.46 = 16,815.34/x
  3. Step 3: Cross multiply
    30,962.50x = 42,728.46 × 16,815.34
  4. Step 4: Simplify right side
    30,962.50x = 718,493,582.58
  5. Step 5: Solve for x
    x = 718,493,582.58/30,962.50
  6. Step 6: Final answer
    x = 23,205.28

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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.