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Finding the Fourth Proportional to 30,420.32, 45,630.29 and 12,408.47

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Solution

The fourth proportional to 30,420.32, 45,630.29 and 12,408.47 is: 18,612.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,420.32 : 45,630.29 = 12,408.47 : x
  2. Step 2: Convert to fraction form
    30,420.32/45,630.29 = 12,408.47/x
  3. Step 3: Cross multiply
    30,420.32x = 45,630.29 × 12,408.47
  4. Step 4: Simplify right side
    30,420.32x = 566,202,136.59
  5. Step 5: Solve for x
    x = 566,202,136.59/30,420.32
  6. Step 6: Final answer
    x = 18,612.63

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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.