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Finding the Fourth Proportional to 38,828, 53,586.96 and 23,924

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Solution

The fourth proportional to 38,828, 53,586.96 and 23,924 is: 33,017.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,828 : 53,586.96 = 23,924 : x
  2. Step 2: Convert to fraction form
    38,828/53,586.96 = 23,924/x
  3. Step 3: Cross multiply
    38,828x = 53,586.96 × 23,924
  4. Step 4: Simplify right side
    38,828x = 1,282,014,431.04
  5. Step 5: Solve for x
    x = 1,282,014,431.04/38,828
  6. Step 6: Final answer
    x = 33,017.78

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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.