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Finding the Fourth Proportional to 84,758.52, 116,963.46 and 47,035.20

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Solution

The fourth proportional to 84,758.52, 116,963.46 and 47,035.20 is: 64,906.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,758.52 : 116,963.46 = 47,035.20 : x
  2. Step 2: Convert to fraction form
    84,758.52/116,963.46 = 47,035.20/x
  3. Step 3: Cross multiply
    84,758.52x = 116,963.46 × 47,035.20
  4. Step 4: Simplify right side
    84,758.52x = 5,501,399,733.79
  5. Step 5: Solve for x
    x = 5,501,399,733.79/84,758.52
  6. Step 6: Final answer
    x = 64,906.75

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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.