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Finding the Fourth Proportional to 50,497.86, 69,687.05 and 27,837.24

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Solution

The fourth proportional to 50,497.86, 69,687.05 and 27,837.24 is: 38,415.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,497.86 : 69,687.05 = 27,837.24 : x
  2. Step 2: Convert to fraction form
    50,497.86/69,687.05 = 27,837.24/x
  3. Step 3: Cross multiply
    50,497.86x = 69,687.05 × 27,837.24
  4. Step 4: Simplify right side
    50,497.86x = 1,939,894,735.23
  5. Step 5: Solve for x
    x = 1,939,894,735.23/50,497.86
  6. Step 6: Final answer
    x = 38,415.38

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1.5x scale

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.