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Finding the Fourth Proportional to 109,710.30, 164,571.14 and 34,836.30

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Solution

The fourth proportional to 109,710.30, 164,571.14 and 34,836.30 is: 52,256.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,710.30 : 164,571.14 = 34,836.30 : x
  2. Step 2: Convert to fraction form
    109,710.30/164,571.14 = 34,836.30/x
  3. Step 3: Cross multiply
    109,710.30x = 164,571.14 × 34,836.30
  4. Step 4: Simplify right side
    109,710.30x = 5,733,049,604.38
  5. Step 5: Solve for x
    x = 5,733,049,604.38/109,710.30
  6. Step 6: Final answer
    x = 52,256.26

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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.