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Finding the Fourth Proportional to 76,584.06, 105,684.87 and 43,049.82

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Solution

The fourth proportional to 76,584.06, 105,684.87 and 43,049.82 is: 59,408.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,584.06 : 105,684.87 = 43,049.82 : x
  2. Step 2: Convert to fraction form
    76,584.06/105,684.87 = 43,049.82/x
  3. Step 3: Cross multiply
    76,584.06x = 105,684.87 × 43,049.82
  4. Step 4: Simplify right side
    76,584.06x = 4,549,714,630.22
  5. Step 5: Solve for x
    x = 4,549,714,630.22/76,584.06
  6. Step 6: Final answer
    x = 59,408.11

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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.