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Finding the Fourth Proportional to 109,706.64, 164,559.93 and 26,600.64

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Solution

The fourth proportional to 109,706.64, 164,559.93 and 26,600.64 is: 39,900.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,706.64 : 164,559.93 = 26,600.64 : x
  2. Step 2: Convert to fraction form
    109,706.64/164,559.93 = 26,600.64/x
  3. Step 3: Cross multiply
    109,706.64x = 164,559.93 × 26,600.64
  4. Step 4: Simplify right side
    109,706.64x = 4,377,399,456.36
  5. Step 5: Solve for x
    x = 4,377,399,456.36/109,706.64
  6. Step 6: Final answer
    x = 39,900.95

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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.