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Finding the Fourth Proportional to 30,176.12, 41,638.02 and 16,745.24

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Solution

The fourth proportional to 30,176.12, 41,638.02 and 16,745.24 is: 23,105.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,176.12 : 41,638.02 = 16,745.24 : x
  2. Step 2: Convert to fraction form
    30,176.12/41,638.02 = 16,745.24/x
  3. Step 3: Cross multiply
    30,176.12x = 41,638.02 × 16,745.24
  4. Step 4: Simplify right side
    30,176.12x = 697,238,638.02
  5. Step 5: Solve for x
    x = 697,238,638.02/30,176.12
  6. Step 6: Final answer
    x = 23,105.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.