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Finding the Fourth Proportional to 31,795.68, 47,701.11 and 9,609.27

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Solution

The fourth proportional to 31,795.68, 47,701.11 and 9,609.27 is: 14,416.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,795.68 : 47,701.11 = 9,609.27 : x
  2. Step 2: Convert to fraction form
    31,795.68/47,701.11 = 9,609.27/x
  3. Step 3: Cross multiply
    31,795.68x = 47,701.11 × 9,609.27
  4. Step 4: Simplify right side
    31,795.68x = 458,372,845.29
  5. Step 5: Solve for x
    x = 458,372,845.29/31,795.68
  6. Step 6: Final answer
    x = 14,416.20

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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.