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Finding the Fourth Proportional to 29,582, 44,379.48 and 11,114

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Solution

The fourth proportional to 29,582, 44,379.48 and 11,114 is: 16,673.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,582 : 44,379.48 = 11,114 : x
  2. Step 2: Convert to fraction form
    29,582/44,379.48 = 11,114/x
  3. Step 3: Cross multiply
    29,582x = 44,379.48 × 11,114
  4. Step 4: Simplify right side
    29,582x = 493,233,540.72
  5. Step 5: Solve for x
    x = 493,233,540.72/29,582
  6. Step 6: Final answer
    x = 16,673.43

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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.