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Finding the Fourth Proportional to 102,050.20, 153,072.48 and 27,171

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Solution

The fourth proportional to 102,050.20, 153,072.48 and 27,171 is: 40,755.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,050.20 : 153,072.48 = 27,171 : x
  2. Step 2: Convert to fraction form
    102,050.20/153,072.48 = 27,171/x
  3. Step 3: Cross multiply
    102,050.20x = 153,072.48 × 27,171
  4. Step 4: Simplify right side
    102,050.20x = 4,159,132,354.08
  5. Step 5: Solve for x
    x = 4,159,132,354.08/102,050.20
  6. Step 6: Final answer
    x = 40,755.75

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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.