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Finding the Fourth Proportional to 50,590, 69,809.21 and 27,927.52

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Solution

The fourth proportional to 50,590, 69,809.21 and 27,927.52 is: 38,537.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,590 : 69,809.21 = 27,927.52 : x
  2. Step 2: Convert to fraction form
    50,590/69,809.21 = 27,927.52/x
  3. Step 3: Cross multiply
    50,590x = 69,809.21 × 27,927.52
  4. Step 4: Simplify right side
    50,590x = 1,949,598,108.46
  5. Step 5: Solve for x
    x = 1,949,598,108.46/50,590
  6. Step 6: Final answer
    x = 38,537.22

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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.