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Finding the Fourth Proportional to 54,804.51, 82,206.50 and 13,251.51

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Solution

The fourth proportional to 54,804.51, 82,206.50 and 13,251.51 is: 19,877.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,804.51 : 82,206.50 = 13,251.51 : x
  2. Step 2: Convert to fraction form
    54,804.51/82,206.50 = 13,251.51/x
  3. Step 3: Cross multiply
    54,804.51x = 82,206.50 × 13,251.51
  4. Step 4: Simplify right side
    54,804.51x = 1,089,360,190.56
  5. Step 5: Solve for x
    x = 1,089,360,190.56/54,804.51
  6. Step 6: Final answer
    x = 19,877.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.