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Finding the Fourth Proportional to 50,200, 75,334.56 and 17,368

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Solution

The fourth proportional to 50,200, 75,334.56 and 17,368 is: 26,063.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,200 : 75,334.56 = 17,368 : x
  2. Step 2: Convert to fraction form
    50,200/75,334.56 = 17,368/x
  3. Step 3: Cross multiply
    50,200x = 75,334.56 × 17,368
  4. Step 4: Simplify right side
    50,200x = 1,308,410,638.08
  5. Step 5: Solve for x
    x = 1,308,410,638.08/50,200
  6. Step 6: Final answer
    x = 26,063.96

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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.