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Finding the Fourth Proportional to 96,509.22, 144,728.25 and 33,313.26

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Solution

The fourth proportional to 96,509.22, 144,728.25 and 33,313.26 is: 49,957.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,509.22 : 144,728.25 = 33,313.26 : x
  2. Step 2: Convert to fraction form
    96,509.22/144,728.25 = 33,313.26/x
  3. Step 3: Cross multiply
    96,509.22x = 144,728.25 × 33,313.26
  4. Step 4: Simplify right side
    96,509.22x = 4,821,369,821.60
  5. Step 5: Solve for x
    x = 4,821,369,821.60/96,509.22
  6. Step 6: Final answer
    x = 49,957.61

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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.