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Finding the Fourth Proportional to 129,379.89, 194,069.82 and 35,885.64

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Solution

The fourth proportional to 129,379.89, 194,069.82 and 35,885.64 is: 53,828.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,379.89 : 194,069.82 = 35,885.64 : x
  2. Step 2: Convert to fraction form
    129,379.89/194,069.82 = 35,885.64/x
  3. Step 3: Cross multiply
    129,379.89x = 194,069.82 × 35,885.64
  4. Step 4: Simplify right side
    129,379.89x = 6,964,319,695.38
  5. Step 5: Solve for x
    x = 6,964,319,695.38/129,379.89
  6. Step 6: Final answer
    x = 53,828.46

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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.