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Finding the Fourth Proportional to 86,685, 119,625.30 and 46,941

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Solution

The fourth proportional to 86,685, 119,625.30 and 46,941 is: 64,778.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,685 : 119,625.30 = 46,941 : x
  2. Step 2: Convert to fraction form
    86,685/119,625.30 = 46,941/x
  3. Step 3: Cross multiply
    86,685x = 119,625.30 × 46,941
  4. Step 4: Simplify right side
    86,685x = 5,615,331,207.30
  5. Step 5: Solve for x
    x = 5,615,331,207.30/86,685
  6. Step 6: Final answer
    x = 64,778.58

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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.