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Finding the Fourth Proportional to 33,880.74, 46,778.76 and 25,909.08

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Solution

The fourth proportional to 33,880.74, 46,778.76 and 25,909.08 is: 35,772.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,880.74 : 46,778.76 = 25,909.08 : x
  2. Step 2: Convert to fraction form
    33,880.74/46,778.76 = 25,909.08/x
  3. Step 3: Cross multiply
    33,880.74x = 46,778.76 × 25,909.08
  4. Step 4: Simplify right side
    33,880.74x = 1,211,994,635.14
  5. Step 5: Solve for x
    x = 1,211,994,635.14/33,880.74
  6. Step 6: Final answer
    x = 35,772.38

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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.