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Finding the Fourth Proportional to 34,017.14, 51,033 and 14,297.70

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Solution

The fourth proportional to 34,017.14, 51,033 and 14,297.70 is: 21,449.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,017.14 : 51,033 = 14,297.70 : x
  2. Step 2: Convert to fraction form
    34,017.14/51,033 = 14,297.70/x
  3. Step 3: Cross multiply
    34,017.14x = 51,033 × 14,297.70
  4. Step 4: Simplify right side
    34,017.14x = 729,654,524.10
  5. Step 5: Solve for x
    x = 729,654,524.10/34,017.14
  6. Step 6: Final answer
    x = 21,449.61

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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.