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Finding the Fourth Proportional to 50,102, 75,164.52 and 17,270

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Solution

The fourth proportional to 50,102, 75,164.52 and 17,270 is: 25,908.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,102 : 75,164.52 = 17,270 : x
  2. Step 2: Convert to fraction form
    50,102/75,164.52 = 17,270/x
  3. Step 3: Cross multiply
    50,102x = 75,164.52 × 17,270
  4. Step 4: Simplify right side
    50,102x = 1,298,091,260.40
  5. Step 5: Solve for x
    x = 1,298,091,260.40/50,102
  6. Step 6: Final answer
    x = 25,908.97

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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.