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Finding the Fourth Proportional to 31,833.54, 47,746.62 and 8,461.80

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Solution

The fourth proportional to 31,833.54, 47,746.62 and 8,461.80 is: 12,691.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,833.54 : 47,746.62 = 8,461.80 : x
  2. Step 2: Convert to fraction form
    31,833.54/47,746.62 = 8,461.80/x
  3. Step 3: Cross multiply
    31,833.54x = 47,746.62 × 8,461.80
  4. Step 4: Simplify right side
    31,833.54x = 404,022,349.12
  5. Step 5: Solve for x
    x = 404,022,349.12/31,833.54
  6. Step 6: Final answer
    x = 12,691.72

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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.