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Finding the Fourth Proportional to 84,081, 116,028.90 and 46,353

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Solution

The fourth proportional to 84,081, 116,028.90 and 46,353 is: 63,965.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,081 : 116,028.90 = 46,353 : x
  2. Step 2: Convert to fraction form
    84,081/116,028.90 = 46,353/x
  3. Step 3: Cross multiply
    84,081x = 116,028.90 × 46,353
  4. Step 4: Simplify right side
    84,081x = 5,378,287,601.70
  5. Step 5: Solve for x
    x = 5,378,287,601.70/84,081
  6. Step 6: Final answer
    x = 63,965.55

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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.