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Finding the Fourth Proportional to 96,253.68, 144,394.09 and 29,699.22

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Solution

The fourth proportional to 96,253.68, 144,394.09 and 29,699.22 is: 44,553.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,253.68 : 144,394.09 = 29,699.22 : x
  2. Step 2: Convert to fraction form
    96,253.68/144,394.09 = 29,699.22/x
  3. Step 3: Cross multiply
    96,253.68x = 144,394.09 × 29,699.22
  4. Step 4: Simplify right side
    96,253.68x = 4,288,391,948.50
  5. Step 5: Solve for x
    x = 4,288,391,948.50/96,253.68
  6. Step 6: Final answer
    x = 44,553.02

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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.