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Finding the Fourth Proportional to 32,122.60, 48,192.30 and 12,401.80

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Solution

The fourth proportional to 32,122.60, 48,192.30 and 12,401.80 is: 18,605.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,122.60 : 48,192.30 = 12,401.80 : x
  2. Step 2: Convert to fraction form
    32,122.60/48,192.30 = 12,401.80/x
  3. Step 3: Cross multiply
    32,122.60x = 48,192.30 × 12,401.80
  4. Step 4: Simplify right side
    32,122.60x = 597,671,266.14
  5. Step 5: Solve for x
    x = 597,671,266.14/32,122.60
  6. Step 6: Final answer
    x = 18,605.94

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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.