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Finding the Fourth Proportional to 75,819, 113,723.72 and 29,609.06

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Solution

The fourth proportional to 75,819, 113,723.72 and 29,609.06 is: 44,411.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,819 : 113,723.72 = 29,609.06 : x
  2. Step 2: Convert to fraction form
    75,819/113,723.72 = 29,609.06/x
  3. Step 3: Cross multiply
    75,819x = 113,723.72 × 29,609.06
  4. Step 4: Simplify right side
    75,819x = 3,367,251,732.24
  5. Step 5: Solve for x
    x = 3,367,251,732.24/75,819
  6. Step 6: Final answer
    x = 44,411.71

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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.