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Finding the Fourth Proportional to 38,324.75, 52,888.14 and 21,557.75

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Solution

The fourth proportional to 38,324.75, 52,888.14 and 21,557.75 is: 29,749.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,324.75 : 52,888.14 = 21,557.75 : x
  2. Step 2: Convert to fraction form
    38,324.75/52,888.14 = 21,557.75/x
  3. Step 3: Cross multiply
    38,324.75x = 52,888.14 × 21,557.75
  4. Step 4: Simplify right side
    38,324.75x = 1,140,149,035.64
  5. Step 5: Solve for x
    x = 1,140,149,035.64/38,324.75
  6. Step 6: Final answer
    x = 29,749.68

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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.