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Finding the Fourth Proportional to 50,169, 69,235.38 and 27,813

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Solution

The fourth proportional to 50,169, 69,235.38 and 27,813 is: 38,383.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,169 : 69,235.38 = 27,813 : x
  2. Step 2: Convert to fraction form
    50,169/69,235.38 = 27,813/x
  3. Step 3: Cross multiply
    50,169x = 69,235.38 × 27,813
  4. Step 4: Simplify right side
    50,169x = 1,925,643,623.94
  5. Step 5: Solve for x
    x = 1,925,643,623.94/50,169
  6. Step 6: Final answer
    x = 38,383.14

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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.