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Finding the Fourth Proportional to 57,412.52, 86,072.31 and 17,949.32

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Solution

The fourth proportional to 57,412.52, 86,072.31 and 17,949.32 is: 26,909.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,412.52 : 86,072.31 = 17,949.32 : x
  2. Step 2: Convert to fraction form
    57,412.52/86,072.31 = 17,949.32/x
  3. Step 3: Cross multiply
    57,412.52x = 86,072.31 × 17,949.32
  4. Step 4: Simplify right side
    57,412.52x = 1,544,939,435.33
  5. Step 5: Solve for x
    x = 1,544,939,435.33/57,412.52
  6. Step 6: Final answer
    x = 26,909.45

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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.