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Finding the Fourth Proportional to 30,408.42, 45,611.26 and 9,347.60

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Solution

The fourth proportional to 30,408.42, 45,611.26 and 9,347.60 is: 14,020.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,408.42 : 45,611.26 = 9,347.60 : x
  2. Step 2: Convert to fraction form
    30,408.42/45,611.26 = 9,347.60/x
  3. Step 3: Cross multiply
    30,408.42x = 45,611.26 × 9,347.60
  4. Step 4: Simplify right side
    30,408.42x = 426,355,813.98
  5. Step 5: Solve for x
    x = 426,355,813.98/30,408.42
  6. Step 6: Final answer
    x = 14,020.98

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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.