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Finding the Fourth Proportional to 109,690.56, 164,535.84 and 26,584.56

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Solution

The fourth proportional to 109,690.56, 164,535.84 and 26,584.56 is: 39,876.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,690.56 : 164,535.84 = 26,584.56 : x
  2. Step 2: Convert to fraction form
    109,690.56/164,535.84 = 26,584.56/x
  3. Step 3: Cross multiply
    109,690.56x = 164,535.84 × 26,584.56
  4. Step 4: Simplify right side
    109,690.56x = 4,374,113,421.66
  5. Step 5: Solve for x
    x = 4,374,113,421.66/109,690.56
  6. Step 6: Final answer
    x = 39,876.84

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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.