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Finding the Fourth Proportional to 96,617.30, 144,890.31 and 33,421.10

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Solution

The fourth proportional to 96,617.30, 144,890.31 and 33,421.10 is: 50,119.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,617.30 : 144,890.31 = 33,421.10 : x
  2. Step 2: Convert to fraction form
    96,617.30/144,890.31 = 33,421.10/x
  3. Step 3: Cross multiply
    96,617.30x = 144,890.31 × 33,421.10
  4. Step 4: Simplify right side
    96,617.30x = 4,842,393,539.54
  5. Step 5: Solve for x
    x = 4,842,393,539.54/96,617.30
  6. Step 6: Final answer
    x = 50,119.32

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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.