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Finding the Fourth Proportional to 36,576, 54,852.86 and 19,036.26

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Solution

The fourth proportional to 36,576, 54,852.86 and 19,036.26 is: 28,548.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,576 : 54,852.86 = 19,036.26 : x
  2. Step 2: Convert to fraction form
    36,576/54,852.86 = 19,036.26/x
  3. Step 3: Cross multiply
    36,576x = 54,852.86 × 19,036.26
  4. Step 4: Simplify right side
    36,576x = 1,044,193,352.29
  5. Step 5: Solve for x
    x = 1,044,193,352.29/36,576
  6. Step 6: Final answer
    x = 28,548.59

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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.