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Finding the Fourth Proportional to 70,506.36, 105,717.29 and 33,074.64

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Solution

The fourth proportional to 70,506.36, 105,717.29 and 33,074.64 is: 49,592.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,506.36 : 105,717.29 = 33,074.64 : x
  2. Step 2: Convert to fraction form
    70,506.36/105,717.29 = 33,074.64/x
  3. Step 3: Cross multiply
    70,506.36x = 105,717.29 × 33,074.64
  4. Step 4: Simplify right side
    70,506.36x = 3,496,561,143.15
  5. Step 5: Solve for x
    x = 3,496,561,143.15/70,506.36
  6. Step 6: Final answer
    x = 49,592.14

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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.