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Finding the Fourth Proportional to 109,478.93, 164,204.27 and 34,606.64

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Solution

The fourth proportional to 109,478.93, 164,204.27 and 34,606.64 is: 51,905.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,478.93 : 164,204.27 = 34,606.64 : x
  2. Step 2: Convert to fraction form
    109,478.93/164,204.27 = 34,606.64/x
  3. Step 3: Cross multiply
    109,478.93x = 164,204.27 × 34,606.64
  4. Step 4: Simplify right side
    109,478.93x = 5,682,558,425.61
  5. Step 5: Solve for x
    x = 5,682,558,425.61/109,478.93
  6. Step 6: Final answer
    x = 51,905.50

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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.