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Finding the Fourth Proportional to 96,010.20, 144,022.98 and 25,888.50

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Solution

The fourth proportional to 96,010.20, 144,022.98 and 25,888.50 is: 38,834.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,010.20 : 144,022.98 = 25,888.50 : x
  2. Step 2: Convert to fraction form
    96,010.20/144,022.98 = 25,888.50/x
  3. Step 3: Cross multiply
    96,010.20x = 144,022.98 × 25,888.50
  4. Step 4: Simplify right side
    96,010.20x = 3,728,538,917.73
  5. Step 5: Solve for x
    x = 3,728,538,917.73/96,010.20
  6. Step 6: Final answer
    x = 38,834.82

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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.