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Finding the Fourth Proportional to 50,514, 69,709.32 and 28,158

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Solution

The fourth proportional to 50,514, 69,709.32 and 28,158 is: 38,858.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,514 : 69,709.32 = 28,158 : x
  2. Step 2: Convert to fraction form
    50,514/69,709.32 = 28,158/x
  3. Step 3: Cross multiply
    50,514x = 69,709.32 × 28,158
  4. Step 4: Simplify right side
    50,514x = 1,962,875,032.56
  5. Step 5: Solve for x
    x = 1,962,875,032.56/50,514
  6. Step 6: Final answer
    x = 38,858.04

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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.