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Finding the Fourth Proportional to 37,190, 51,322.56 and 20,194.40

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Solution

The fourth proportional to 37,190, 51,322.56 and 20,194.40 is: 27,868.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,190 : 51,322.56 = 20,194.40 : x
  2. Step 2: Convert to fraction form
    37,190/51,322.56 = 20,194.40/x
  3. Step 3: Cross multiply
    37,190x = 51,322.56 × 20,194.40
  4. Step 4: Simplify right side
    37,190x = 1,036,428,305.66
  5. Step 5: Solve for x
    x = 1,036,428,305.66/37,190
  6. Step 6: Final answer
    x = 27,868.47

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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.