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Finding the Fourth Proportional to 37,106.78, 51,206.78 and 20,110.62

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Solution

The fourth proportional to 37,106.78, 51,206.78 and 20,110.62 is: 27,752.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,106.78 : 51,206.78 = 20,110.62 : x
  2. Step 2: Convert to fraction form
    37,106.78/51,206.78 = 20,110.62/x
  3. Step 3: Cross multiply
    37,106.78x = 51,206.78 × 20,110.62
  4. Step 4: Simplify right side
    37,106.78x = 1,029,800,094.00
  5. Step 5: Solve for x
    x = 1,029,800,094.00/37,106.78
  6. Step 6: Final answer
    x = 27,752.34

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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.