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Finding the Fourth Proportional to 50,564.25, 69,778.70 and 28,208.25

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Solution

The fourth proportional to 50,564.25, 69,778.70 and 28,208.25 is: 38,927.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,564.25 : 69,778.70 = 28,208.25 : x
  2. Step 2: Convert to fraction form
    50,564.25/69,778.70 = 28,208.25/x
  3. Step 3: Cross multiply
    50,564.25x = 69,778.70 × 28,208.25
  4. Step 4: Simplify right side
    50,564.25x = 1,968,334,873.23
  5. Step 5: Solve for x
    x = 1,968,334,873.23/50,564.25
  6. Step 6: Final answer
    x = 38,927.40

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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.