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Finding the Fourth Proportional to 50,248.32, 69,342.78 and 27,892.32

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Solution

The fourth proportional to 50,248.32, 69,342.78 and 27,892.32 is: 38,491.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,248.32 : 69,342.78 = 27,892.32 : x
  2. Step 2: Convert to fraction form
    50,248.32/69,342.78 = 27,892.32/x
  3. Step 3: Cross multiply
    50,248.32x = 69,342.78 × 27,892.32
  4. Step 4: Simplify right side
    50,248.32x = 1,934,131,009.45
  5. Step 5: Solve for x
    x = 1,934,131,009.45/50,248.32
  6. Step 6: Final answer
    x = 38,491.46

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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.