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Finding the Fourth Proportional to 50,570, 69,786.60 and 28,214

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Solution

The fourth proportional to 50,570, 69,786.60 and 28,214 is: 38,935.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,570 : 69,786.60 = 28,214 : x
  2. Step 2: Convert to fraction form
    50,570/69,786.60 = 28,214/x
  3. Step 3: Cross multiply
    50,570x = 69,786.60 × 28,214
  4. Step 4: Simplify right side
    50,570x = 1,968,959,132.40
  5. Step 5: Solve for x
    x = 1,968,959,132.40/50,570
  6. Step 6: Final answer
    x = 38,935.32

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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.