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Finding the Fourth Proportional to 96,384.40, 144,548.80 and 33,201.96

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Solution

The fourth proportional to 96,384.40, 144,548.80 and 33,201.96 is: 49,793.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,384.40 : 144,548.80 = 33,201.96 : x
  2. Step 2: Convert to fraction form
    96,384.40/144,548.80 = 33,201.96/x
  3. Step 3: Cross multiply
    96,384.40x = 144,548.80 × 33,201.96
  4. Step 4: Simplify right side
    96,384.40x = 4,799,303,475.65
  5. Step 5: Solve for x
    x = 4,799,303,475.65/96,384.40
  6. Step 6: Final answer
    x = 49,793.36

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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.