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Finding the Fourth Proportional to 31,773.96, 47,631.47 and 12,039.32

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Solution

The fourth proportional to 31,773.96, 47,631.47 and 12,039.32 is: 18,047.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,773.96 : 47,631.47 = 12,039.32 : x
  2. Step 2: Convert to fraction form
    31,773.96/47,631.47 = 12,039.32/x
  3. Step 3: Cross multiply
    31,773.96x = 47,631.47 × 12,039.32
  4. Step 4: Simplify right side
    31,773.96x = 573,450,211.05
  5. Step 5: Solve for x
    x = 573,450,211.05/31,773.96
  6. Step 6: Final answer
    x = 18,047.80

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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.