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Finding the Fourth Proportional to 106,460.82, 159,687.63 and 26,498.63

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Solution

The fourth proportional to 106,460.82, 159,687.63 and 26,498.63 is: 39,747.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,460.82 : 159,687.63 = 26,498.63 : x
  2. Step 2: Convert to fraction form
    106,460.82/159,687.63 = 26,498.63/x
  3. Step 3: Cross multiply
    106,460.82x = 159,687.63 × 26,498.63
  4. Step 4: Simplify right side
    106,460.82x = 4,231,503,422.95
  5. Step 5: Solve for x
    x = 4,231,503,422.95/106,460.82
  6. Step 6: Final answer
    x = 39,747.05

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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.