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Finding the Fourth Proportional to 106,754.83, 160,077.84 and 35,651.89

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Solution

The fourth proportional to 106,754.83, 160,077.84 and 35,651.89 is: 53,459.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,754.83 : 160,077.84 = 35,651.89 : x
  2. Step 2: Convert to fraction form
    106,754.83/160,077.84 = 35,651.89/x
  3. Step 3: Cross multiply
    106,754.83x = 160,077.84 × 35,651.89
  4. Step 4: Simplify right side
    106,754.83x = 5,707,077,543.12
  5. Step 5: Solve for x
    x = 5,707,077,543.12/106,754.83
  6. Step 6: Final answer
    x = 53,459.67

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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.