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Finding the Fourth Proportional to 84,282.14, 116,309.34 and 46,558.82

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Solution

The fourth proportional to 84,282.14, 116,309.34 and 46,558.82 is: 64,251.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,282.14 : 116,309.34 = 46,558.82 : x
  2. Step 2: Convert to fraction form
    84,282.14/116,309.34 = 46,558.82/x
  3. Step 3: Cross multiply
    84,282.14x = 116,309.34 × 46,558.82
  4. Step 4: Simplify right side
    84,282.14x = 5,415,225,625.38
  5. Step 5: Solve for x
    x = 5,415,225,625.38/84,282.14
  6. Step 6: Final answer
    x = 64,251.16

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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.