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Finding the Fourth Proportional to 30,842.75, 42,549.72 and 18,099.83

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Solution

The fourth proportional to 30,842.75, 42,549.72 and 18,099.83 is: 24,969.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,842.75 : 42,549.72 = 18,099.83 : x
  2. Step 2: Convert to fraction form
    30,842.75/42,549.72 = 18,099.83/x
  3. Step 3: Cross multiply
    30,842.75x = 42,549.72 × 18,099.83
  4. Step 4: Simplify right side
    30,842.75x = 770,142,698.55
  5. Step 5: Solve for x
    x = 770,142,698.55/30,842.75
  6. Step 6: Final answer
    x = 24,969.98

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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.