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Finding the Fourth Proportional to 96,276.40, 144,438.26 and 33,097.48

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Solution

The fourth proportional to 96,276.40, 144,438.26 and 33,097.48 is: 49,654.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,276.40 : 144,438.26 = 33,097.48 : x
  2. Step 2: Convert to fraction form
    96,276.40/144,438.26 = 33,097.48/x
  3. Step 3: Cross multiply
    96,276.40x = 144,438.26 × 33,097.48
  4. Step 4: Simplify right side
    96,276.40x = 4,780,542,421.58
  5. Step 5: Solve for x
    x = 4,780,542,421.58/96,276.40
  6. Step 6: Final answer
    x = 49,654.35

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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.