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Finding the Fourth Proportional to 69,964.56, 104,922.54 and 23,206.50

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Solution

The fourth proportional to 69,964.56, 104,922.54 and 23,206.50 is: 34,801.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,964.56 : 104,922.54 = 23,206.50 : x
  2. Step 2: Convert to fraction form
    69,964.56/104,922.54 = 23,206.50/x
  3. Step 3: Cross multiply
    69,964.56x = 104,922.54 × 23,206.50
  4. Step 4: Simplify right side
    69,964.56x = 2,434,884,924.51
  5. Step 5: Solve for x
    x = 2,434,884,924.51/69,964.56
  6. Step 6: Final answer
    x = 34,801.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.