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Finding the Fourth Proportional to 34,205.40, 51,308.10 and 19,443.15

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Solution

The fourth proportional to 34,205.40, 51,308.10 and 19,443.15 is: 29,164.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,205.40 : 51,308.10 = 19,443.15 : x
  2. Step 2: Convert to fraction form
    34,205.40/51,308.10 = 19,443.15/x
  3. Step 3: Cross multiply
    34,205.40x = 51,308.10 × 19,443.15
  4. Step 4: Simplify right side
    34,205.40x = 997,591,084.52
  5. Step 5: Solve for x
    x = 997,591,084.52/34,205.40
  6. Step 6: Final answer
    x = 29,164.73

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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.