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Finding the Fourth Proportional to 30,072.38, 45,112.89 and 9,297.50

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Solution

The fourth proportional to 30,072.38, 45,112.89 and 9,297.50 is: 13,947.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,072.38 : 45,112.89 = 9,297.50 : x
  2. Step 2: Convert to fraction form
    30,072.38/45,112.89 = 9,297.50/x
  3. Step 3: Cross multiply
    30,072.38x = 45,112.89 × 9,297.50
  4. Step 4: Simplify right side
    30,072.38x = 419,437,094.78
  5. Step 5: Solve for x
    x = 419,437,094.78/30,072.38
  6. Step 6: Final answer
    x = 13,947.59

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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.