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Finding the Fourth Proportional to 31,794.41, 47,683.71 and 9,606.08

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Solution

The fourth proportional to 31,794.41, 47,683.71 and 9,606.08 is: 14,406.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,794.41 : 47,683.71 = 9,606.08 : x
  2. Step 2: Convert to fraction form
    31,794.41/47,683.71 = 9,606.08/x
  3. Step 3: Cross multiply
    31,794.41x = 47,683.71 × 9,606.08
  4. Step 4: Simplify right side
    31,794.41x = 458,053,294.54
  5. Step 5: Solve for x
    x = 458,053,294.54/31,794.41
  6. Step 6: Final answer
    x = 14,406.73

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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.