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Finding the Fourth Proportional to 50,176, 75,268.32 and 13,240

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Solution

The fourth proportional to 50,176, 75,268.32 and 13,240 is: 19,861.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,176 : 75,268.32 = 13,240 : x
  2. Step 2: Convert to fraction form
    50,176/75,268.32 = 13,240/x
  3. Step 3: Cross multiply
    50,176x = 75,268.32 × 13,240
  4. Step 4: Simplify right side
    50,176x = 996,552,556.80
  5. Step 5: Solve for x
    x = 996,552,556.80/50,176
  6. Step 6: Final answer
    x = 19,861.14

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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.