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Finding the Fourth Proportional to 109,674.75, 164,512.95 and 26,568.75

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Solution

The fourth proportional to 109,674.75, 164,512.95 and 26,568.75 is: 39,853.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,674.75 : 164,512.95 = 26,568.75 : x
  2. Step 2: Convert to fraction form
    109,674.75/164,512.95 = 26,568.75/x
  3. Step 3: Cross multiply
    109,674.75x = 164,512.95 × 26,568.75
  4. Step 4: Simplify right side
    109,674.75x = 4,370,903,440.31
  5. Step 5: Solve for x
    x = 4,370,903,440.31/109,674.75
  6. Step 6: Final answer
    x = 39,853.32

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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.