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Finding the Fourth Proportional to 109,410.40, 164,086.80 and 34,530.40

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Solution

The fourth proportional to 109,410.40, 164,086.80 and 34,530.40 is: 51,786.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,410.40 : 164,086.80 = 34,530.40 : x
  2. Step 2: Convert to fraction form
    109,410.40/164,086.80 = 34,530.40/x
  3. Step 3: Cross multiply
    109,410.40x = 164,086.80 × 34,530.40
  4. Step 4: Simplify right side
    109,410.40x = 5,665,982,838.72
  5. Step 5: Solve for x
    x = 5,665,982,838.72/109,410.40
  6. Step 6: Final answer
    x = 51,786.51

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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.