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Finding the Fourth Proportional to 29,245.86, 43,869.06 and 9,523.98

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Solution

The fourth proportional to 29,245.86, 43,869.06 and 9,523.98 is: 14,286.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,245.86 : 43,869.06 = 9,523.98 : x
  2. Step 2: Convert to fraction form
    29,245.86/43,869.06 = 9,523.98/x
  3. Step 3: Cross multiply
    29,245.86x = 43,869.06 × 9,523.98
  4. Step 4: Simplify right side
    29,245.86x = 417,808,050.06
  5. Step 5: Solve for x
    x = 417,808,050.06/29,245.86
  6. Step 6: Final answer
    x = 14,286.06

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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.