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Finding the Fourth Proportional to 37,152.13, 55,728 and 9,072.34

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Solution

The fourth proportional to 37,152.13, 55,728 and 9,072.34 is: 13,608.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,152.13 : 55,728 = 9,072.34 : x
  2. Step 2: Convert to fraction form
    37,152.13/55,728 = 9,072.34/x
  3. Step 3: Cross multiply
    37,152.13x = 55,728 × 9,072.34
  4. Step 4: Simplify right side
    37,152.13x = 505,583,363.52
  5. Step 5: Solve for x
    x = 505,583,363.52/37,152.13
  6. Step 6: Final answer
    x = 13,608.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.