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Finding the Fourth Proportional to 37,686, 52,011.48 and 22,782

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Solution

The fourth proportional to 37,686, 52,011.48 and 22,782 is: 31,442.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,686 : 52,011.48 = 22,782 : x
  2. Step 2: Convert to fraction form
    37,686/52,011.48 = 22,782/x
  3. Step 3: Cross multiply
    37,686x = 52,011.48 × 22,782
  4. Step 4: Simplify right side
    37,686x = 1,184,925,537.36
  5. Step 5: Solve for x
    x = 1,184,925,537.36/37,686
  6. Step 6: Final answer
    x = 31,442.06

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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.