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Finding the Fourth Proportional to 37,161, 51,282.18 and 22,257

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Solution

The fourth proportional to 37,161, 51,282.18 and 22,257 is: 30,714.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,161 : 51,282.18 = 22,257 : x
  2. Step 2: Convert to fraction form
    37,161/51,282.18 = 22,257/x
  3. Step 3: Cross multiply
    37,161x = 51,282.18 × 22,257
  4. Step 4: Simplify right side
    37,161x = 1,141,387,480.26
  5. Step 5: Solve for x
    x = 1,141,387,480.26/37,161
  6. Step 6: Final answer
    x = 30,714.66

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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.