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Finding the Fourth Proportional to 37,101.81, 51,203.74 and 20,338.05

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Solution

The fourth proportional to 37,101.81, 51,203.74 and 20,338.05 is: 28,068.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,101.81 : 51,203.74 = 20,338.05 : x
  2. Step 2: Convert to fraction form
    37,101.81/51,203.74 = 20,338.05/x
  3. Step 3: Cross multiply
    37,101.81x = 51,203.74 × 20,338.05
  4. Step 4: Simplify right side
    37,101.81x = 1,041,384,224.31
  5. Step 5: Solve for x
    x = 1,041,384,224.31/37,101.81
  6. Step 6: Final answer
    x = 28,068.29

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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.