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Finding the Fourth Proportional to 34,205.65, 47,204.73 and 19,097.73

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Solution

The fourth proportional to 34,205.65, 47,204.73 and 19,097.73 is: 26,355.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,205.65 : 47,204.73 = 19,097.73 : x
  2. Step 2: Convert to fraction form
    34,205.65/47,204.73 = 19,097.73/x
  3. Step 3: Cross multiply
    34,205.65x = 47,204.73 × 19,097.73
  4. Step 4: Simplify right side
    34,205.65x = 901,503,188.26
  5. Step 5: Solve for x
    x = 901,503,188.26/34,205.65
  6. Step 6: Final answer
    x = 26,355.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.