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Finding the Fourth Proportional to 50,184.33, 69,254.37 and 27,828.33

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Solution

The fourth proportional to 50,184.33, 69,254.37 and 27,828.33 is: 38,403.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,184.33 : 69,254.37 = 27,828.33 : x
  2. Step 2: Convert to fraction form
    50,184.33/69,254.37 = 27,828.33/x
  3. Step 3: Cross multiply
    50,184.33x = 69,254.37 × 27,828.33
  4. Step 4: Simplify right side
    50,184.33x = 1,927,233,436.81
  5. Step 5: Solve for x
    x = 1,927,233,436.81/50,184.33
  6. Step 6: Final answer
    x = 38,403.09

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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.