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Finding the Fourth Proportional to 86,436.87, 119,276.77 and 48,194.78

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Solution

The fourth proportional to 86,436.87, 119,276.77 and 48,194.78 is: 66,505.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,436.87 : 119,276.77 = 48,194.78 : x
  2. Step 2: Convert to fraction form
    86,436.87/119,276.77 = 48,194.78/x
  3. Step 3: Cross multiply
    86,436.87x = 119,276.77 × 48,194.78
  4. Step 4: Simplify right side
    86,436.87x = 5,748,517,689.26
  5. Step 5: Solve for x
    x = 5,748,517,689.26/86,436.87
  6. Step 6: Final answer
    x = 66,505.39

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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.