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Finding the Fourth Proportional to 31,499.37, 47,248.68 and 12,774.96

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Solution

The fourth proportional to 31,499.37, 47,248.68 and 12,774.96 is: 19,162.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,499.37 : 47,248.68 = 12,774.96 : x
  2. Step 2: Convert to fraction form
    31,499.37/47,248.68 = 12,774.96/x
  3. Step 3: Cross multiply
    31,499.37x = 47,248.68 × 12,774.96
  4. Step 4: Simplify right side
    31,499.37x = 603,599,997.05
  5. Step 5: Solve for x
    x = 603,599,997.05/31,499.37
  6. Step 6: Final answer
    x = 19,162.29

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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.