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Finding the Fourth Proportional to 38,442.36, 53,052.30 and 21,675

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Solution

The fourth proportional to 38,442.36, 53,052.30 and 21,675 is: 29,912.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,442.36 : 53,052.30 = 21,675 : x
  2. Step 2: Convert to fraction form
    38,442.36/53,052.30 = 21,675/x
  3. Step 3: Cross multiply
    38,442.36x = 53,052.30 × 21,675
  4. Step 4: Simplify right side
    38,442.36x = 1,149,908,602.50
  5. Step 5: Solve for x
    x = 1,149,908,602.50/38,442.36
  6. Step 6: Final answer
    x = 29,912.54

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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.