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Finding the Fourth Proportional to 50,586, 69,810.12 and 28,231.44

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Solution

The fourth proportional to 50,586, 69,810.12 and 28,231.44 is: 38,960.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,586 : 69,810.12 = 28,231.44 : x
  2. Step 2: Convert to fraction form
    50,586/69,810.12 = 28,231.44/x
  3. Step 3: Cross multiply
    50,586x = 69,810.12 × 28,231.44
  4. Step 4: Simplify right side
    50,586x = 1,970,840,214.17
  5. Step 5: Solve for x
    x = 1,970,840,214.17/50,586
  6. Step 6: Final answer
    x = 38,960.19

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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.