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Finding the Fourth Proportional to 50,130.80, 69,180.36 and 27,774.80

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Solution

The fourth proportional to 50,130.80, 69,180.36 and 27,774.80 is: 38,329.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,130.80 : 69,180.36 = 27,774.80 : x
  2. Step 2: Convert to fraction form
    50,130.80/69,180.36 = 27,774.80/x
  3. Step 3: Cross multiply
    50,130.80x = 69,180.36 × 27,774.80
  4. Step 4: Simplify right side
    50,130.80x = 1,921,470,662.93
  5. Step 5: Solve for x
    x = 1,921,470,662.93/50,130.80
  6. Step 6: Final answer
    x = 38,329.14

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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.