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Finding the Fourth Proportional to 29,458.70, 44,182.34 and 11,446.89

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Solution

The fourth proportional to 29,458.70, 44,182.34 and 11,446.89 is: 17,168.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,458.70 : 44,182.34 = 11,446.89 : x
  2. Step 2: Convert to fraction form
    29,458.70/44,182.34 = 11,446.89/x
  3. Step 3: Cross multiply
    29,458.70x = 44,182.34 × 11,446.89
  4. Step 4: Simplify right side
    29,458.70x = 505,750,328.69
  5. Step 5: Solve for x
    x = 505,750,328.69/29,458.70
  6. Step 6: Final answer
    x = 17,168.12

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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.