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Finding the Fourth Proportional to 37,415.57, 51,640.08 and 22,309.16

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Solution

The fourth proportional to 37,415.57, 51,640.08 and 22,309.16 is: 30,790.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,415.57 : 51,640.08 = 22,309.16 : x
  2. Step 2: Convert to fraction form
    37,415.57/51,640.08 = 22,309.16/x
  3. Step 3: Cross multiply
    37,415.57x = 51,640.08 × 22,309.16
  4. Step 4: Simplify right side
    37,415.57x = 1,152,046,936.23
  5. Step 5: Solve for x
    x = 1,152,046,936.23/37,415.57
  6. Step 6: Final answer
    x = 30,790.57

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