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Finding the Fourth Proportional to 66,788.44, 100,185.75 and 37,184.00

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Solution

The fourth proportional to 66,788.44, 100,185.75 and 37,184.00 is: 55,777.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,788.44 : 100,185.75 = 37,184.00 : x
  2. Step 2: Convert to fraction form
    66,788.44/100,185.75 = 37,184.00/x
  3. Step 3: Cross multiply
    66,788.44x = 100,185.75 × 37,184.00
  4. Step 4: Simplify right side
    66,788.44x = 3,725,306,427.07
  5. Step 5: Solve for x
    x = 3,725,306,427.07/66,788.44
  6. Step 6: Final answer
    x = 55,777.71

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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.