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Finding the Fourth Proportional to 103,652.70, 155,439.99 and 33,513.18

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Solution

The fourth proportional to 103,652.70, 155,439.99 and 33,513.18 is: 50,257.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,652.70 : 155,439.99 = 33,513.18 : x
  2. Step 2: Convert to fraction form
    103,652.70/155,439.99 = 33,513.18/x
  3. Step 3: Cross multiply
    103,652.70x = 155,439.99 × 33,513.18
  4. Step 4: Simplify right side
    103,652.70x = 5,209,288,364.07
  5. Step 5: Solve for x
    x = 5,209,288,364.07/103,652.70
  6. Step 6: Final answer
    x = 50,257.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.