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Finding the Fourth Proportional to 103,852.32, 155,763.84 and 33,732.48

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Solution

The fourth proportional to 103,852.32, 155,763.84 and 33,732.48 is: 50,593.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,852.32 : 155,763.84 = 33,732.48 : x
  2. Step 2: Convert to fraction form
    103,852.32/155,763.84 = 33,732.48/x
  3. Step 3: Cross multiply
    103,852.32x = 155,763.84 × 33,732.48
  4. Step 4: Simplify right side
    103,852.32x = 5,254,300,617.52
  5. Step 5: Solve for x
    x = 5,254,300,617.52/103,852.32
  6. Step 6: Final answer
    x = 50,593.96

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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.