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Finding the Fourth Proportional to 37,190.51, 51,322.72 and 20,194.61

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Solution

The fourth proportional to 37,190.51, 51,322.72 and 20,194.61 is: 27,868.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,190.51 : 51,322.72 = 20,194.61 : x
  2. Step 2: Convert to fraction form
    37,190.51/51,322.72 = 20,194.61/x
  3. Step 3: Cross multiply
    37,190.51x = 51,322.72 × 20,194.61
  4. Step 4: Simplify right side
    37,190.51x = 1,036,442,081.50
  5. Step 5: Solve for x
    x = 1,036,442,081.50/37,190.51
  6. Step 6: Final answer
    x = 27,868.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.