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Finding the Fourth Proportional to 50,857.07, 70,182.73 and 28,196

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Solution

The fourth proportional to 50,857.07, 70,182.73 and 28,196 is: 38,910.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,857.07 : 70,182.73 = 28,196 : x
  2. Step 2: Convert to fraction form
    50,857.07/70,182.73 = 28,196/x
  3. Step 3: Cross multiply
    50,857.07x = 70,182.73 × 28,196
  4. Step 4: Simplify right side
    50,857.07x = 1,978,872,255.08
  5. Step 5: Solve for x
    x = 1,978,872,255.08/50,857.07
  6. Step 6: Final answer
    x = 38,910.47

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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.