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Finding the Fourth Proportional to 31,829.46, 48,043.30 and 31,829.46

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Solution

The fourth proportional to 31,829.46, 48,043.30 and 31,829.46 is: 48,043.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,829.46 : 48,043.30 = 31,829.46 : x
  2. Step 2: Convert to fraction form
    31,829.46/48,043.30 = 31,829.46/x
  3. Step 3: Cross multiply
    31,829.46x = 48,043.30 × 31,829.46
  4. Step 4: Simplify right side
    31,829.46x = 1,529,192,295.62
  5. Step 5: Solve for x
    x = 1,529,192,295.62/31,829.46
  6. Step 6: Final answer
    x = 48,043.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.