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Finding the Fourth Proportional to 30,841.75, 42,548.34 and 18,098.83

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Solution

The fourth proportional to 30,841.75, 42,548.34 and 18,098.83 is: 24,968.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,841.75 : 42,548.34 = 18,098.83 : x
  2. Step 2: Convert to fraction form
    30,841.75/42,548.34 = 18,098.83/x
  3. Step 3: Cross multiply
    30,841.75x = 42,548.34 × 18,098.83
  4. Step 4: Simplify right side
    30,841.75x = 770,075,172.44
  5. Step 5: Solve for x
    x = 770,075,172.44/30,841.75
  6. Step 6: Final answer
    x = 24,968.60

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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.