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Finding the Fourth Proportional to 34,206.34, 47,200.03 and 19,097.23

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Solution

The fourth proportional to 34,206.34, 47,200.03 and 19,097.23 is: 26,351.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,206.34 : 47,200.03 = 19,097.23 : x
  2. Step 2: Convert to fraction form
    34,206.34/47,200.03 = 19,097.23/x
  3. Step 3: Cross multiply
    34,206.34x = 47,200.03 × 19,097.23
  4. Step 4: Simplify right side
    34,206.34x = 901,389,828.92
  5. Step 5: Solve for x
    x = 901,389,828.92/34,206.34
  6. Step 6: Final answer
    x = 26,351.54

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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.