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Finding the Fourth Proportional to 28,648, 42,973.44 and 10,181.44

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Solution

The fourth proportional to 28,648, 42,973.44 and 10,181.44 is: 15,272.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,648 : 42,973.44 = 10,181.44 : x
  2. Step 2: Convert to fraction form
    28,648/42,973.44 = 10,181.44/x
  3. Step 3: Cross multiply
    28,648x = 42,973.44 × 10,181.44
  4. Step 4: Simplify right side
    28,648x = 437,531,500.95
  5. Step 5: Solve for x
    x = 437,531,500.95/28,648
  6. Step 6: Final answer
    x = 15,272.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.