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Finding the Fourth Proportional to 76,842.38, 106,044.36 and 42,850.54

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Solution

The fourth proportional to 76,842.38, 106,044.36 and 42,850.54 is: 59,134.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,842.38 : 106,044.36 = 42,850.54 : x
  2. Step 2: Convert to fraction form
    76,842.38/106,044.36 = 42,850.54/x
  3. Step 3: Cross multiply
    76,842.38x = 106,044.36 × 42,850.54
  4. Step 4: Simplify right side
    76,842.38x = 4,544,058,089.95
  5. Step 5: Solve for x
    x = 4,544,058,089.95/76,842.38
  6. Step 6: Final answer
    x = 59,134.79

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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.