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Finding the Fourth Proportional to 86,398.38, 119,194.74 and 52,883.82

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Solution

The fourth proportional to 86,398.38, 119,194.74 and 52,883.82 is: 72,958.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,398.38 : 119,194.74 = 52,883.82 : x
  2. Step 2: Convert to fraction form
    86,398.38/119,194.74 = 52,883.82/x
  3. Step 3: Cross multiply
    86,398.38x = 119,194.74 × 52,883.82
  4. Step 4: Simplify right side
    86,398.38x = 6,303,473,175.11
  5. Step 5: Solve for x
    x = 6,303,473,175.11/86,398.38
  6. Step 6: Final answer
    x = 72,958.23

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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.