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Finding the Fourth Proportional to 38,657.75, 53,347.70 and 21,893.99

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Solution

The fourth proportional to 38,657.75, 53,347.70 and 21,893.99 is: 30,213.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,657.75 : 53,347.70 = 21,893.99 : x
  2. Step 2: Convert to fraction form
    38,657.75/53,347.70 = 21,893.99/x
  3. Step 3: Cross multiply
    38,657.75x = 53,347.70 × 21,893.99
  4. Step 4: Simplify right side
    38,657.75x = 1,167,993,900.85
  5. Step 5: Solve for x
    x = 1,167,993,900.85/38,657.75
  6. Step 6: Final answer
    x = 30,213.71

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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.