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Finding the Fourth Proportional to 38,492.93, 57,745.20 and 16,306.40

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Solution

The fourth proportional to 38,492.93, 57,745.20 and 16,306.40 is: 24,462.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,492.93 : 57,745.20 = 16,306.40 : x
  2. Step 2: Convert to fraction form
    38,492.93/57,745.20 = 16,306.40/x
  3. Step 3: Cross multiply
    38,492.93x = 57,745.20 × 16,306.40
  4. Step 4: Simplify right side
    38,492.93x = 941,616,329.28
  5. Step 5: Solve for x
    x = 941,616,329.28/38,492.93
  6. Step 6: Final answer
    x = 24,462.06

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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.