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Finding the Fourth Proportional to 33,030.32, 49,576.80 and 20,512.40

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Solution

The fourth proportional to 33,030.32, 49,576.80 and 20,512.40 is: 30,788.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,030.32 : 49,576.80 = 20,512.40 : x
  2. Step 2: Convert to fraction form
    33,030.32/49,576.80 = 20,512.40/x
  3. Step 3: Cross multiply
    33,030.32x = 49,576.80 × 20,512.40
  4. Step 4: Simplify right side
    33,030.32x = 1,016,939,152.32
  5. Step 5: Solve for x
    x = 1,016,939,152.32/33,030.32
  6. Step 6: Final answer
    x = 30,788.05

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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.