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Finding the Fourth Proportional to 37,106, 51,206.40 and 20,110.52

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Solution

The fourth proportional to 37,106, 51,206.40 and 20,110.52 is: 27,752.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,106 : 51,206.40 = 20,110.52 : x
  2. Step 2: Convert to fraction form
    37,106/51,206.40 = 20,110.52/x
  3. Step 3: Cross multiply
    37,106x = 51,206.40 × 20,110.52
  4. Step 4: Simplify right side
    37,106x = 1,029,787,331.33
  5. Step 5: Solve for x
    x = 1,029,787,331.33/37,106
  6. Step 6: Final answer
    x = 27,752.58

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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.