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Finding the Fourth Proportional to 106,484.98, 159,727.31 and 27,599.28

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Solution

The fourth proportional to 106,484.98, 159,727.31 and 27,599.28 is: 41,398.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,484.98 : 159,727.31 = 27,599.28 : x
  2. Step 2: Convert to fraction form
    106,484.98/159,727.31 = 27,599.28/x
  3. Step 3: Cross multiply
    106,484.98x = 159,727.31 × 27,599.28
  4. Step 4: Simplify right side
    106,484.98x = 4,408,358,821.34
  5. Step 5: Solve for x
    x = 4,408,358,821.34/106,484.98
  6. Step 6: Final answer
    x = 41,398.88

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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.