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Finding the Fourth Proportional to 37,804.40, 52,163.55 and 22,705.38

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Solution

The fourth proportional to 37,804.40, 52,163.55 and 22,705.38 is: 31,329.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,804.40 : 52,163.55 = 22,705.38 : x
  2. Step 2: Convert to fraction form
    37,804.40/52,163.55 = 22,705.38/x
  3. Step 3: Cross multiply
    37,804.40x = 52,163.55 × 22,705.38
  4. Step 4: Simplify right side
    37,804.40x = 1,184,393,224.90
  5. Step 5: Solve for x
    x = 1,184,393,224.90/37,804.40
  6. Step 6: Final answer
    x = 31,329.51

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Why These Related Problems?

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