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Finding the Fourth Proportional to 86,419.68, 119,257.20 and 48,694.56

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Solution

The fourth proportional to 86,419.68, 119,257.20 and 48,694.56 is: 67,197.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,419.68 : 119,257.20 = 48,694.56 : x
  2. Step 2: Convert to fraction form
    86,419.68/119,257.20 = 48,694.56/x
  3. Step 3: Cross multiply
    86,419.68x = 119,257.20 × 48,694.56
  4. Step 4: Simplify right side
    86,419.68x = 5,807,176,880.83
  5. Step 5: Solve for x
    x = 5,807,176,880.83/86,419.68
  6. Step 6: Final answer
    x = 67,197.39

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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.