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Finding the Fourth Proportional to 84,344.12, 116,394.92 and 46,618.38

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Solution

The fourth proportional to 84,344.12, 116,394.92 and 46,618.38 is: 64,333.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,344.12 : 116,394.92 = 46,618.38 : x
  2. Step 2: Convert to fraction form
    84,344.12/116,394.92 = 46,618.38/x
  3. Step 3: Cross multiply
    84,344.12x = 116,394.92 × 46,618.38
  4. Step 4: Simplify right side
    84,344.12x = 5,426,142,610.63
  5. Step 5: Solve for x
    x = 5,426,142,610.63/84,344.12
  6. Step 6: Final answer
    x = 64,333.38

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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.