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Finding the Fourth Proportional to 50,210.75, 69,291.09 and 27,551.81

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Solution

The fourth proportional to 50,210.75, 69,291.09 and 27,551.81 is: 38,021.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,210.75 : 69,291.09 = 27,551.81 : x
  2. Step 2: Convert to fraction form
    50,210.75/69,291.09 = 27,551.81/x
  3. Step 3: Cross multiply
    50,210.75x = 69,291.09 × 27,551.81
  4. Step 4: Simplify right side
    50,210.75x = 1,909,095,119.60
  5. Step 5: Solve for x
    x = 1,909,095,119.60/50,210.75
  6. Step 6: Final answer
    x = 38,021.64

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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.