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Finding the Fourth Proportional to 76,793.43, 105,962.09 and 42,794.46

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Solution

The fourth proportional to 76,793.43, 105,962.09 and 42,794.46 is: 59,049.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,793.43 : 105,962.09 = 42,794.46 : x
  2. Step 2: Convert to fraction form
    76,793.43/105,962.09 = 42,794.46/x
  3. Step 3: Cross multiply
    76,793.43x = 105,962.09 × 42,794.46
  4. Step 4: Simplify right side
    76,793.43x = 4,534,590,208.05
  5. Step 5: Solve for x
    x = 4,534,590,208.05/76,793.43
  6. Step 6: Final answer
    x = 59,049.19

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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.