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Finding the Fourth Proportional to 32,951.40, 49,427.10 and 31,338.60

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Solution

The fourth proportional to 32,951.40, 49,427.10 and 31,338.60 is: 47,007.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,951.40 : 49,427.10 = 31,338.60 : x
  2. Step 2: Convert to fraction form
    32,951.40/49,427.10 = 31,338.60/x
  3. Step 3: Cross multiply
    32,951.40x = 49,427.10 × 31,338.60
  4. Step 4: Simplify right side
    32,951.40x = 1,548,976,116.06
  5. Step 5: Solve for x
    x = 1,548,976,116.06/32,951.40
  6. Step 6: Final answer
    x = 47,007.90

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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.