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Finding the Fourth Proportional to 106,748.81, 160,068.86 and 35,645.88

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Solution

The fourth proportional to 106,748.81, 160,068.86 and 35,645.88 is: 53,450.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,748.81 : 160,068.86 = 35,645.88 : x
  2. Step 2: Convert to fraction form
    106,748.81/160,068.86 = 35,645.88/x
  3. Step 3: Cross multiply
    106,748.81x = 160,068.86 × 35,645.88
  4. Step 4: Simplify right side
    106,748.81x = 5,705,795,375.30
  5. Step 5: Solve for x
    x = 5,705,795,375.30/106,748.81
  6. Step 6: Final answer
    x = 53,450.67

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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.