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Finding the Fourth Proportional to 96,166.83, 144,235.65 and 33,822.75

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Solution

The fourth proportional to 96,166.83, 144,235.65 and 33,822.75 is: 50,728.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,166.83 : 144,235.65 = 33,822.75 : x
  2. Step 2: Convert to fraction form
    96,166.83/144,235.65 = 33,822.75/x
  3. Step 3: Cross multiply
    96,166.83x = 144,235.65 × 33,822.75
  4. Step 4: Simplify right side
    96,166.83x = 4,878,446,331.04
  5. Step 5: Solve for x
    x = 4,878,446,331.04/96,166.83
  6. Step 6: Final answer
    x = 50,728.99

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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.