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Finding the Fourth Proportional to 109,686, 164,529.90 and 26,580

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Solution

The fourth proportional to 109,686, 164,529.90 and 26,580 is: 39,870.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,686 : 164,529.90 = 26,580 : x
  2. Step 2: Convert to fraction form
    109,686/164,529.90 = 26,580/x
  3. Step 3: Cross multiply
    109,686x = 164,529.90 × 26,580
  4. Step 4: Simplify right side
    109,686x = 4,373,204,742
  5. Step 5: Solve for x
    x = 4,373,204,742/109,686
  6. Step 6: Final answer
    x = 39,870.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.