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Finding the Fourth Proportional to 69,412.88, 104,106.18 and 33,838.47

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Solution

The fourth proportional to 69,412.88, 104,106.18 and 33,838.47 is: 50,751.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,412.88 : 104,106.18 = 33,838.47 : x
  2. Step 2: Convert to fraction form
    69,412.88/104,106.18 = 33,838.47/x
  3. Step 3: Cross multiply
    69,412.88x = 104,106.18 × 33,838.47
  4. Step 4: Simplify right side
    69,412.88x = 3,522,793,848.74
  5. Step 5: Solve for x
    x = 3,522,793,848.74/69,412.88
  6. Step 6: Final answer
    x = 50,751.30

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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.