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Finding the Fourth Proportional to 38,005.50, 52,450.83 and 21,241.74

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Solution

The fourth proportional to 38,005.50, 52,450.83 and 21,241.74 is: 29,315.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,005.50 : 52,450.83 = 21,241.74 : x
  2. Step 2: Convert to fraction form
    38,005.50/52,450.83 = 21,241.74/x
  3. Step 3: Cross multiply
    38,005.50x = 52,450.83 × 21,241.74
  4. Step 4: Simplify right side
    38,005.50x = 1,114,146,893.64
  5. Step 5: Solve for x
    x = 1,114,146,893.64/38,005.50
  6. Step 6: Final answer
    x = 29,315.41

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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.