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Finding the Fourth Proportional to 50,409.57, 69,564.68 and 27,748.08

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Solution

The fourth proportional to 50,409.57, 69,564.68 and 27,748.08 is: 38,292.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,409.57 : 69,564.68 = 27,748.08 : x
  2. Step 2: Convert to fraction form
    50,409.57/69,564.68 = 27,748.08/x
  3. Step 3: Cross multiply
    50,409.57x = 69,564.68 × 27,748.08
  4. Step 4: Simplify right side
    50,409.57x = 1,930,286,271.13
  5. Step 5: Solve for x
    x = 1,930,286,271.13/50,409.57
  6. Step 6: Final answer
    x = 38,292.06

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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.