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Finding the Fourth Proportional to 103,433.44, 155,150.24 and 33,312.64

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Solution

The fourth proportional to 103,433.44, 155,150.24 and 33,312.64 is: 49,968.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,433.44 : 155,150.24 = 33,312.64 : x
  2. Step 2: Convert to fraction form
    103,433.44/155,150.24 = 33,312.64/x
  3. Step 3: Cross multiply
    103,433.44x = 155,150.24 × 33,312.64
  4. Step 4: Simplify right side
    103,433.44x = 5,168,464,091.03
  5. Step 5: Solve for x
    x = 5,168,464,091.03/103,433.44
  6. Step 6: Final answer
    x = 49,968.99

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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.