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Finding the Fourth Proportional to 84,757.26, 116,965.71 and 47,032.14

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Solution

The fourth proportional to 84,757.26, 116,965.71 and 47,032.14 is: 64,904.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,757.26 : 116,965.71 = 47,032.14 : x
  2. Step 2: Convert to fraction form
    84,757.26/116,965.71 = 47,032.14/x
  3. Step 3: Cross multiply
    84,757.26x = 116,965.71 × 47,032.14
  4. Step 4: Simplify right side
    84,757.26x = 5,501,147,647.92
  5. Step 5: Solve for x
    x = 5,501,147,647.92/84,757.26
  6. Step 6: Final answer
    x = 64,904.74

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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.