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Finding the Fourth Proportional to 38,442.80, 53,050.98 and 21,675.80

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Solution

The fourth proportional to 38,442.80, 53,050.98 and 21,675.80 is: 29,912.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,442.80 : 53,050.98 = 21,675.80 : x
  2. Step 2: Convert to fraction form
    38,442.80/53,050.98 = 21,675.80/x
  3. Step 3: Cross multiply
    38,442.80x = 53,050.98 × 21,675.80
  4. Step 4: Simplify right side
    38,442.80x = 1,149,922,432.28
  5. Step 5: Solve for x
    x = 1,149,922,432.28/38,442.80
  6. Step 6: Final answer
    x = 29,912.56

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