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Finding the Fourth Proportional to 30,699.44, 45,999.94 and 27,747

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Solution

The fourth proportional to 30,699.44, 45,999.94 and 27,747 is: 41,576.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,699.44 : 45,999.94 = 27,747 : x
  2. Step 2: Convert to fraction form
    30,699.44/45,999.94 = 27,747/x
  3. Step 3: Cross multiply
    30,699.44x = 45,999.94 × 27,747
  4. Step 4: Simplify right side
    30,699.44x = 1,276,360,335.18
  5. Step 5: Solve for x
    x = 1,276,360,335.18/30,699.44
  6. Step 6: Final answer
    x = 41,576.01

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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.