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Finding the Fourth Proportional to 50,186, 75,284.04 and 13,250

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Solution

The fourth proportional to 50,186, 75,284.04 and 13,250 is: 19,876.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,186 : 75,284.04 = 13,250 : x
  2. Step 2: Convert to fraction form
    50,186/75,284.04 = 13,250/x
  3. Step 3: Cross multiply
    50,186x = 75,284.04 × 13,250
  4. Step 4: Simplify right side
    50,186x = 997,513,530.00
  5. Step 5: Solve for x
    x = 997,513,530.00/50,186
  6. Step 6: Final answer
    x = 19,876.33

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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.