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Finding the Fourth Proportional to 106,881.80, 160,284.90 and 36,744.80

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Solution

The fourth proportional to 106,881.80, 160,284.90 and 36,744.80 is: 55,104.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,881.80 : 160,284.90 = 36,744.80 : x
  2. Step 2: Convert to fraction form
    106,881.80/160,284.90 = 36,744.80/x
  3. Step 3: Cross multiply
    106,881.80x = 160,284.90 × 36,744.80
  4. Step 4: Simplify right side
    106,881.80x = 5,889,636,593.52
  5. Step 5: Solve for x
    x = 5,889,636,593.52/106,881.80
  6. Step 6: Final answer
    x = 55,104.20

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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.