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Finding the Fourth Proportional to 38,537.50, 53,181.75 and 20,873.50

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Solution

The fourth proportional to 38,537.50, 53,181.75 and 20,873.50 is: 28,805.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,537.50 : 53,181.75 = 20,873.50 : x
  2. Step 2: Convert to fraction form
    38,537.50/53,181.75 = 20,873.50/x
  3. Step 3: Cross multiply
    38,537.50x = 53,181.75 × 20,873.50
  4. Step 4: Simplify right side
    38,537.50x = 1,110,089,258.63
  5. Step 5: Solve for x
    x = 1,110,089,258.63/38,537.50
  6. Step 6: Final answer
    x = 28,805.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.