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Finding the Fourth Proportional to 84,307.38, 116,344.25 and 46,581.63

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Solution

The fourth proportional to 84,307.38, 116,344.25 and 46,581.63 is: 64,282.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,307.38 : 116,344.25 = 46,581.63 : x
  2. Step 2: Convert to fraction form
    84,307.38/116,344.25 = 46,581.63/x
  3. Step 3: Cross multiply
    84,307.38x = 116,344.25 × 46,581.63
  4. Step 4: Simplify right side
    84,307.38x = 5,419,504,806.13
  5. Step 5: Solve for x
    x = 5,419,504,806.13/84,307.38
  6. Step 6: Final answer
    x = 64,282.69

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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.