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Finding the Fourth Proportional to 84,757.38, 116,970.66 and 47,031.63

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Solution

The fourth proportional to 84,757.38, 116,970.66 and 47,031.63 is: 64,906.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,757.38 : 116,970.66 = 47,031.63 : x
  2. Step 2: Convert to fraction form
    84,757.38/116,970.66 = 47,031.63/x
  3. Step 3: Cross multiply
    84,757.38x = 116,970.66 × 47,031.63
  4. Step 4: Simplify right side
    84,757.38x = 5,501,321,064.25
  5. Step 5: Solve for x
    x = 5,501,321,064.25/84,757.38
  6. Step 6: Final answer
    x = 64,906.69

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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.