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Finding the Fourth Proportional to 54,842.25, 82,263.83 and 13,289.25

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Solution

The fourth proportional to 54,842.25, 82,263.83 and 13,289.25 is: 19,933.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,842.25 : 82,263.83 = 13,289.25 : x
  2. Step 2: Convert to fraction form
    54,842.25/82,263.83 = 13,289.25/x
  3. Step 3: Cross multiply
    54,842.25x = 82,263.83 × 13,289.25
  4. Step 4: Simplify right side
    54,842.25x = 1,093,224,536.38
  5. Step 5: Solve for x
    x = 1,093,224,536.38/54,842.25
  6. Step 6: Final answer
    x = 19,933.98

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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.