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Finding the Fourth Proportional to 37,684.80, 52,012.80 and 26,351.28

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Solution

The fourth proportional to 37,684.80, 52,012.80 and 26,351.28 is: 36,370.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,684.80 : 52,012.80 = 26,351.28 : x
  2. Step 2: Convert to fraction form
    37,684.80/52,012.80 = 26,351.28/x
  3. Step 3: Cross multiply
    37,684.80x = 52,012.80 × 26,351.28
  4. Step 4: Simplify right side
    37,684.80x = 1,370,603,856.38
  5. Step 5: Solve for x
    x = 1,370,603,856.38/37,684.80
  6. Step 6: Final answer
    x = 36,370.20

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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.