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Finding the Fourth Proportional to 96,029.44, 144,058.56 and 33,688.96

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Solution

The fourth proportional to 96,029.44, 144,058.56 and 33,688.96 is: 50,538.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,029.44 : 144,058.56 = 33,688.96 : x
  2. Step 2: Convert to fraction form
    96,029.44/144,058.56 = 33,688.96/x
  3. Step 3: Cross multiply
    96,029.44x = 144,058.56 × 33,688.96
  4. Step 4: Simplify right side
    96,029.44x = 4,853,183,065.50
  5. Step 5: Solve for x
    x = 4,853,183,065.50/96,029.44
  6. Step 6: Final answer
    x = 50,538.49

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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.