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Finding the Fourth Proportional to 109,690, 164,535.90 and 26,584

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Solution

The fourth proportional to 109,690, 164,535.90 and 26,584 is: 39,876.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,690 : 164,535.90 = 26,584 : x
  2. Step 2: Convert to fraction form
    109,690/164,535.90 = 26,584/x
  3. Step 3: Cross multiply
    109,690x = 164,535.90 × 26,584
  4. Step 4: Simplify right side
    109,690x = 4,374,022,365.60
  5. Step 5: Solve for x
    x = 4,374,022,365.60/109,690
  6. Step 6: Final answer
    x = 39,876.22

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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.