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Finding the Fourth Proportional to 38,492.68, 57,744.44 and 12,199.48

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Solution

The fourth proportional to 38,492.68, 57,744.44 and 12,199.48 is: 18,300.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,492.68 : 57,744.44 = 12,199.48 : x
  2. Step 2: Convert to fraction form
    38,492.68/57,744.44 = 12,199.48/x
  3. Step 3: Cross multiply
    38,492.68x = 57,744.44 × 12,199.48
  4. Step 4: Simplify right side
    38,492.68x = 704,452,140.89
  5. Step 5: Solve for x
    x = 704,452,140.89/38,492.68
  6. Step 6: Final answer
    x = 18,300.94

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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.