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Finding the Fourth Proportional to 34,205.30, 47,202.40 and 19,097.54

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Solution

The fourth proportional to 34,205.30, 47,202.40 and 19,097.54 is: 26,354.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,205.30 : 47,202.40 = 19,097.54 : x
  2. Step 2: Convert to fraction form
    34,205.30/47,202.40 = 19,097.54/x
  3. Step 3: Cross multiply
    34,205.30x = 47,202.40 × 19,097.54
  4. Step 4: Simplify right side
    34,205.30x = 901,449,722.10
  5. Step 5: Solve for x
    x = 901,449,722.10/34,205.30
  6. Step 6: Final answer
    x = 26,354.09

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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.