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Finding the Fourth Proportional to 76,563.88, 105,652.74 and 43,034.92

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Solution

The fourth proportional to 76,563.88, 105,652.74 and 43,034.92 is: 59,385.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,563.88 : 105,652.74 = 43,034.92 : x
  2. Step 2: Convert to fraction form
    76,563.88/105,652.74 = 43,034.92/x
  3. Step 3: Cross multiply
    76,563.88x = 105,652.74 × 43,034.92
  4. Step 4: Simplify right side
    76,563.88x = 4,546,757,213.68
  5. Step 5: Solve for x
    x = 4,546,757,213.68/76,563.88
  6. Step 6: Final answer
    x = 59,385.15

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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.