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Finding the Fourth Proportional to 38,766, 58,170 and 30,018

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Solution

The fourth proportional to 38,766, 58,170 and 30,018 is: 45,043.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,766 : 58,170 = 30,018 : x
  2. Step 2: Convert to fraction form
    38,766/58,170 = 30,018/x
  3. Step 3: Cross multiply
    38,766x = 58,170 × 30,018
  4. Step 4: Simplify right side
    38,766x = 1,746,147,060
  5. Step 5: Solve for x
    x = 1,746,147,060/38,766
  6. Step 6: Final answer
    x = 45,043.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.