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Finding the Fourth Proportional to 70,780.74, 106,017.99 and 33,284.64

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Solution

The fourth proportional to 70,780.74, 106,017.99 and 33,284.64 is: 49,854.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,780.74 : 106,017.99 = 33,284.64 : x
  2. Step 2: Convert to fraction form
    70,780.74/106,017.99 = 33,284.64/x
  3. Step 3: Cross multiply
    70,780.74x = 106,017.99 × 33,284.64
  4. Step 4: Simplify right side
    70,780.74x = 3,528,770,630.67
  5. Step 5: Solve for x
    x = 3,528,770,630.67/70,780.74
  6. Step 6: Final answer
    x = 49,854.96

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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.