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Finding the Fourth Proportional to 96,245.10, 144,383.22 and 29,669.66

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Solution

The fourth proportional to 96,245.10, 144,383.22 and 29,669.66 is: 44,509.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,245.10 : 144,383.22 = 29,669.66 : x
  2. Step 2: Convert to fraction form
    96,245.10/144,383.22 = 29,669.66/x
  3. Step 3: Cross multiply
    96,245.10x = 144,383.22 × 29,669.66
  4. Step 4: Simplify right side
    96,245.10x = 4,283,801,047.11
  5. Step 5: Solve for x
    x = 4,283,801,047.11/96,245.10
  6. Step 6: Final answer
    x = 44,509.29

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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.