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Finding the Fourth Proportional to 103,921.59, 155,898.81 and 33,784.50

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Solution

The fourth proportional to 103,921.59, 155,898.81 and 33,784.50 is: 50,682.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,921.59 : 155,898.81 = 33,784.50 : x
  2. Step 2: Convert to fraction form
    103,921.59/155,898.81 = 33,784.50/x
  3. Step 3: Cross multiply
    103,921.59x = 155,898.81 × 33,784.50
  4. Step 4: Simplify right side
    103,921.59x = 5,266,963,346.45
  5. Step 5: Solve for x
    x = 5,266,963,346.45/103,921.59
  6. Step 6: Final answer
    x = 50,682.09

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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.