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Finding the Fourth Proportional to 96,096.32, 144,210.10 and 33,766.80

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Solution

The fourth proportional to 96,096.32, 144,210.10 and 33,766.80 is: 50,673.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,096.32 : 144,210.10 = 33,766.80 : x
  2. Step 2: Convert to fraction form
    96,096.32/144,210.10 = 33,766.80/x
  3. Step 3: Cross multiply
    96,096.32x = 144,210.10 × 33,766.80
  4. Step 4: Simplify right side
    96,096.32x = 4,869,513,604.68
  5. Step 5: Solve for x
    x = 4,869,513,604.68/96,096.32
  6. Step 6: Final answer
    x = 50,673.26

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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.