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Finding the Fourth Proportional to 102,695.64, 154,043.70 and 27,816.24

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Solution

The fourth proportional to 102,695.64, 154,043.70 and 27,816.24 is: 41,724.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,695.64 : 154,043.70 = 27,816.24 : x
  2. Step 2: Convert to fraction form
    102,695.64/154,043.70 = 27,816.24/x
  3. Step 3: Cross multiply
    102,695.64x = 154,043.70 × 27,816.24
  4. Step 4: Simplify right side
    102,695.64x = 4,284,916,529.69
  5. Step 5: Solve for x
    x = 4,284,916,529.69/102,695.64
  6. Step 6: Final answer
    x = 41,724.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.