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Finding the Fourth Proportional to 69,431.68, 104,111.63 and 33,894.65

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Solution

The fourth proportional to 69,431.68, 104,111.63 and 33,894.65 is: 50,824.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,431.68 : 104,111.63 = 33,894.65 : x
  2. Step 2: Convert to fraction form
    69,431.68/104,111.63 = 33,894.65/x
  3. Step 3: Cross multiply
    69,431.68x = 104,111.63 × 33,894.65
  4. Step 4: Simplify right side
    69,431.68x = 3,528,827,477.69
  5. Step 5: Solve for x
    x = 3,528,827,477.69/69,431.68
  6. Step 6: Final answer
    x = 50,824.46

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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.