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Finding the Fourth Proportional to 29,245, 43,872.06 and 9,518.89

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Solution

The fourth proportional to 29,245, 43,872.06 and 9,518.89 is: 14,279.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,245 : 43,872.06 = 9,518.89 : x
  2. Step 2: Convert to fraction form
    29,245/43,872.06 = 9,518.89/x
  3. Step 3: Cross multiply
    29,245x = 43,872.06 × 9,518.89
  4. Step 4: Simplify right side
    29,245x = 417,613,313.21
  5. Step 5: Solve for x
    x = 417,613,313.21/29,245
  6. Step 6: Final answer
    x = 14,279.82

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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.