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Finding the Fourth Proportional to 34,714.50, 52,074.18 and 13,938

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Solution

The fourth proportional to 34,714.50, 52,074.18 and 13,938 is: 20,907.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,714.50 : 52,074.18 = 13,938 : x
  2. Step 2: Convert to fraction form
    34,714.50/52,074.18 = 13,938/x
  3. Step 3: Cross multiply
    34,714.50x = 52,074.18 × 13,938
  4. Step 4: Simplify right side
    34,714.50x = 725,809,920.84
  5. Step 5: Solve for x
    x = 725,809,920.84/34,714.50
  6. Step 6: Final answer
    x = 20,907.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.