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Finding the Fourth Proportional to 33,043.60, 49,638.30 and 31,804.30

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Solution

The fourth proportional to 33,043.60, 49,638.30 and 31,804.30 is: 47,776.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,043.60 : 49,638.30 = 31,804.30 : x
  2. Step 2: Convert to fraction form
    33,043.60/49,638.30 = 31,804.30/x
  3. Step 3: Cross multiply
    33,043.60x = 49,638.30 × 31,804.30
  4. Step 4: Simplify right side
    33,043.60x = 1,578,711,384.69
  5. Step 5: Solve for x
    x = 1,578,711,384.69/33,043.60
  6. Step 6: Final answer
    x = 47,776.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.