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Finding the Fourth Proportional to 103,741.84, 155,627.16 and 33,598.48

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Solution

The fourth proportional to 103,741.84, 155,627.16 and 33,598.48 is: 50,402.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,741.84 : 155,627.16 = 33,598.48 : x
  2. Step 2: Convert to fraction form
    103,741.84/155,627.16 = 33,598.48/x
  3. Step 3: Cross multiply
    103,741.84x = 155,627.16 × 33,598.48
  4. Step 4: Simplify right side
    103,741.84x = 5,228,836,022.72
  5. Step 5: Solve for x
    x = 5,228,836,022.72/103,741.84
  6. Step 6: Final answer
    x = 50,402.38

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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.