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Finding the Fourth Proportional to 86,540, 119,425.22 and 46,796

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Solution

The fourth proportional to 86,540, 119,425.22 and 46,796 is: 64,578.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,540 : 119,425.22 = 46,796 : x
  2. Step 2: Convert to fraction form
    86,540/119,425.22 = 46,796/x
  3. Step 3: Cross multiply
    86,540x = 119,425.22 × 46,796
  4. Step 4: Simplify right side
    86,540x = 5,588,622,595.12
  5. Step 5: Solve for x
    x = 5,588,622,595.12/86,540
  6. Step 6: Final answer
    x = 64,578.49

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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.