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Finding the Fourth Proportional to 76,630.72, 105,734.55 and 44,793.46

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Solution

The fourth proportional to 76,630.72, 105,734.55 and 44,793.46 is: 61,805.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,630.72 : 105,734.55 = 44,793.46 : x
  2. Step 2: Convert to fraction form
    76,630.72/105,734.55 = 44,793.46/x
  3. Step 3: Cross multiply
    76,630.72x = 105,734.55 × 44,793.46
  4. Step 4: Simplify right side
    76,630.72x = 4,736,216,112.08
  5. Step 5: Solve for x
    x = 4,736,216,112.08/76,630.72
  6. Step 6: Final answer
    x = 61,805.71

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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.