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Finding the Fourth Proportional to 30,349.52, 45,538.36 and 12,823.44

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Solution

The fourth proportional to 30,349.52, 45,538.36 and 12,823.44 is: 19,241.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,349.52 : 45,538.36 = 12,823.44 : x
  2. Step 2: Convert to fraction form
    30,349.52/45,538.36 = 12,823.44/x
  3. Step 3: Cross multiply
    30,349.52x = 45,538.36 × 12,823.44
  4. Step 4: Simplify right side
    30,349.52x = 583,958,427.16
  5. Step 5: Solve for x
    x = 583,958,427.16/30,349.52
  6. Step 6: Final answer
    x = 19,241.11

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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.