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Finding the Fourth Proportional to 109,638, 164,457.81 and 26,532

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Solution

The fourth proportional to 109,638, 164,457.81 and 26,532 is: 39,798.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,638 : 164,457.81 = 26,532 : x
  2. Step 2: Convert to fraction form
    109,638/164,457.81 = 26,532/x
  3. Step 3: Cross multiply
    109,638x = 164,457.81 × 26,532
  4. Step 4: Simplify right side
    109,638x = 4,363,394,614.92
  5. Step 5: Solve for x
    x = 4,363,394,614.92/109,638
  6. Step 6: Final answer
    x = 39,798.20

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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.