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Finding the Fourth Proportional to 109,486.40, 164,229.28 and 26,380.40

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Solution

The fourth proportional to 109,486.40, 164,229.28 and 26,380.40 is: 39,570.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,486.40 : 164,229.28 = 26,380.40 : x
  2. Step 2: Convert to fraction form
    109,486.40/164,229.28 = 26,380.40/x
  3. Step 3: Cross multiply
    109,486.40x = 164,229.28 × 26,380.40
  4. Step 4: Simplify right side
    109,486.40x = 4,332,434,098.11
  5. Step 5: Solve for x
    x = 4,332,434,098.11/109,486.40
  6. Step 6: Final answer
    x = 39,570.52

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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.