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Finding the Fourth Proportional to 76,958.52, 106,207.49 and 42,966.96

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Solution

The fourth proportional to 76,958.52, 106,207.49 and 42,966.96 is: 59,297.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,958.52 : 106,207.49 = 42,966.96 : x
  2. Step 2: Convert to fraction form
    76,958.52/106,207.49 = 42,966.96/x
  3. Step 3: Cross multiply
    76,958.52x = 106,207.49 × 42,966.96
  4. Step 4: Simplify right side
    76,958.52x = 4,563,412,759.70
  5. Step 5: Solve for x
    x = 4,563,412,759.70/76,958.52
  6. Step 6: Final answer
    x = 59,297.04

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.