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Finding the Fourth Proportional to 86,578.56, 119,457.72 and 48,852.90

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Solution

The fourth proportional to 86,578.56, 119,457.72 and 48,852.90 is: 67,405.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,578.56 : 119,457.72 = 48,852.90 : x
  2. Step 2: Convert to fraction form
    86,578.56/119,457.72 = 48,852.90/x
  3. Step 3: Cross multiply
    86,578.56x = 119,457.72 × 48,852.90
  4. Step 4: Simplify right side
    86,578.56x = 5,835,856,049.39
  5. Step 5: Solve for x
    x = 5,835,856,049.39/86,578.56
  6. Step 6: Final answer
    x = 67,405.33

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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.