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Finding the Fourth Proportional to 31,473.72, 47,196.45 and 9,279.30

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Solution

The fourth proportional to 31,473.72, 47,196.45 and 9,279.30 is: 13,914.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,473.72 : 47,196.45 = 9,279.30 : x
  2. Step 2: Convert to fraction form
    31,473.72/47,196.45 = 9,279.30/x
  3. Step 3: Cross multiply
    31,473.72x = 47,196.45 × 9,279.30
  4. Step 4: Simplify right side
    31,473.72x = 437,950,018.49
  5. Step 5: Solve for x
    x = 437,950,018.49/31,473.72
  6. Step 6: Final answer
    x = 13,914.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.