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Finding the Fourth Proportional to 50,537.86, 69,743.64 and 27,878.38

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Solution

The fourth proportional to 50,537.86, 69,743.64 and 27,878.38 is: 38,472.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,537.86 : 69,743.64 = 27,878.38 : x
  2. Step 2: Convert to fraction form
    50,537.86/69,743.64 = 27,878.38/x
  3. Step 3: Cross multiply
    50,537.86x = 69,743.64 × 27,878.38
  4. Step 4: Simplify right side
    50,537.86x = 1,944,339,698.50
  5. Step 5: Solve for x
    x = 1,944,339,698.50/50,537.86
  6. Step 6: Final answer
    x = 38,472.93

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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.