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Finding the Fourth Proportional to 70,534.12, 105,847.26 and 33,601

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Solution

The fourth proportional to 70,534.12, 105,847.26 and 33,601 is: 50,423.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,534.12 : 105,847.26 = 33,601 : x
  2. Step 2: Convert to fraction form
    70,534.12/105,847.26 = 33,601/x
  3. Step 3: Cross multiply
    70,534.12x = 105,847.26 × 33,601
  4. Step 4: Simplify right side
    70,534.12x = 3,556,573,783.26
  5. Step 5: Solve for x
    x = 3,556,573,783.26/70,534.12
  6. Step 6: Final answer
    x = 50,423.45

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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.