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Finding the Fourth Proportional to 106,483.96, 159,740.34 and 36,344.44

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Solution

The fourth proportional to 106,483.96, 159,740.34 and 36,344.44 is: 54,521.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,483.96 : 159,740.34 = 36,344.44 : x
  2. Step 2: Convert to fraction form
    106,483.96/159,740.34 = 36,344.44/x
  3. Step 3: Cross multiply
    106,483.96x = 159,740.34 × 36,344.44
  4. Step 4: Simplify right side
    106,483.96x = 5,805,673,202.71
  5. Step 5: Solve for x
    x = 5,805,673,202.71/106,483.96
  6. Step 6: Final answer
    x = 54,521.57

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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.