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Finding the Fourth Proportional to 109,672.40, 164,494.83 and 34,800.32

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Solution

The fourth proportional to 109,672.40, 164,494.83 and 34,800.32 is: 52,196.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,672.40 : 164,494.83 = 34,800.32 : x
  2. Step 2: Convert to fraction form
    109,672.40/164,494.83 = 34,800.32/x
  3. Step 3: Cross multiply
    109,672.40x = 164,494.83 × 34,800.32
  4. Step 4: Simplify right side
    109,672.40x = 5,724,472,722.35
  5. Step 5: Solve for x
    x = 5,724,472,722.35/109,672.40
  6. Step 6: Final answer
    x = 52,196.11

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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.