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Finding the Fourth Proportional to 109,690.88, 164,536.31 and 26,584.88

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Solution

The fourth proportional to 109,690.88, 164,536.31 and 26,584.88 is: 39,877.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,690.88 : 164,536.31 = 26,584.88 : x
  2. Step 2: Convert to fraction form
    109,690.88/164,536.31 = 26,584.88/x
  3. Step 3: Cross multiply
    109,690.88x = 164,536.31 × 26,584.88
  4. Step 4: Simplify right side
    109,690.88x = 4,374,177,300.77
  5. Step 5: Solve for x
    x = 4,374,177,300.77/109,690.88
  6. Step 6: Final answer
    x = 39,877.31

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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.