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Finding the Fourth Proportional to 96,969.32, 145,407.77 and 33,781.68

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Solution

The fourth proportional to 96,969.32, 145,407.77 and 33,781.68 is: 50,656.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,969.32 : 145,407.77 = 33,781.68 : x
  2. Step 2: Convert to fraction form
    96,969.32/145,407.77 = 33,781.68/x
  3. Step 3: Cross multiply
    96,969.32x = 145,407.77 × 33,781.68
  4. Step 4: Simplify right side
    96,969.32x = 4,912,118,586.75
  5. Step 5: Solve for x
    x = 4,912,118,586.75/96,969.32
  6. Step 6: Final answer
    x = 50,656.42

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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.