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Finding the Fourth Proportional to 29,567.35, 44,358.11 and 9,846.09

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Solution

The fourth proportional to 29,567.35, 44,358.11 and 9,846.09 is: 14,771.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,567.35 : 44,358.11 = 9,846.09 : x
  2. Step 2: Convert to fraction form
    29,567.35/44,358.11 = 9,846.09/x
  3. Step 3: Cross multiply
    29,567.35x = 44,358.11 × 9,846.09
  4. Step 4: Simplify right side
    29,567.35x = 436,753,943.29
  5. Step 5: Solve for x
    x = 436,753,943.29/29,567.35
  6. Step 6: Final answer
    x = 14,771.49

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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.