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Finding the Fourth Proportional to 50,592.81, 69,816.24 and 27,931.32

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Solution

The fourth proportional to 50,592.81, 69,816.24 and 27,931.32 is: 38,544.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,592.81 : 69,816.24 = 27,931.32 : x
  2. Step 2: Convert to fraction form
    50,592.81/69,816.24 = 27,931.32/x
  3. Step 3: Cross multiply
    50,592.81x = 69,816.24 × 27,931.32
  4. Step 4: Simplify right side
    50,592.81x = 1,950,059,740.64
  5. Step 5: Solve for x
    x = 1,950,059,740.64/50,592.81
  6. Step 6: Final answer
    x = 38,544.21

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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.