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Finding the Fourth Proportional to 83,967, 115,874.62 and 46,244.76

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Solution

The fourth proportional to 83,967, 115,874.62 and 46,244.76 is: 63,817.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,967 : 115,874.62 = 46,244.76 : x
  2. Step 2: Convert to fraction form
    83,967/115,874.62 = 46,244.76/x
  3. Step 3: Cross multiply
    83,967x = 115,874.62 × 46,244.76
  4. Step 4: Simplify right side
    83,967x = 5,358,593,991.99
  5. Step 5: Solve for x
    x = 5,358,593,991.99/83,967
  6. Step 6: Final answer
    x = 63,817.86

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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.