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Finding the Fourth Proportional to 34,205.72, 51,266.66 and 19,427.06

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Solution

The fourth proportional to 34,205.72, 51,266.66 and 19,427.06 is: 29,116.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,205.72 : 51,266.66 = 19,427.06 : x
  2. Step 2: Convert to fraction form
    34,205.72/51,266.66 = 19,427.06/x
  3. Step 3: Cross multiply
    34,205.72x = 51,266.66 × 19,427.06
  4. Step 4: Simplify right side
    34,205.72x = 995,960,510.85
  5. Step 5: Solve for x
    x = 995,960,510.85/34,205.72
  6. Step 6: Final answer
    x = 29,116.79

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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.