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Finding the Fourth Proportional to 103,344.62, 155,016.93 and 33,223.93

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Solution

The fourth proportional to 103,344.62, 155,016.93 and 33,223.93 is: 49,835.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,344.62 : 155,016.93 = 33,223.93 : x
  2. Step 2: Convert to fraction form
    103,344.62/155,016.93 = 33,223.93/x
  3. Step 3: Cross multiply
    103,344.62x = 155,016.93 × 33,223.93
  4. Step 4: Simplify right side
    103,344.62x = 5,150,271,631.13
  5. Step 5: Solve for x
    x = 5,150,271,631.13/103,344.62
  6. Step 6: Final answer
    x = 49,835.90

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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.