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Finding the Fourth Proportional to 50,509.76, 69,703.95 and 27,849.65

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Solution

The fourth proportional to 50,509.76, 69,703.95 and 27,849.65 is: 38,432.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,509.76 : 69,703.95 = 27,849.65 : x
  2. Step 2: Convert to fraction form
    50,509.76/69,703.95 = 27,849.65/x
  3. Step 3: Cross multiply
    50,509.76x = 69,703.95 × 27,849.65
  4. Step 4: Simplify right side
    50,509.76x = 1,941,230,262.60
  5. Step 5: Solve for x
    x = 1,941,230,262.60/50,509.76
  6. Step 6: Final answer
    x = 38,432.78

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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.