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Finding the Fourth Proportional to 83,461.94, 115,177.49 and 45,735.38

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Solution

The fourth proportional to 83,461.94, 115,177.49 and 45,735.38 is: 63,114.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,461.94 : 115,177.49 = 45,735.38 : x
  2. Step 2: Convert to fraction form
    83,461.94/115,177.49 = 45,735.38/x
  3. Step 3: Cross multiply
    83,461.94x = 115,177.49 × 45,735.38
  4. Step 4: Simplify right side
    83,461.94x = 5,267,686,272.60
  5. Step 5: Solve for x
    x = 5,267,686,272.60/83,461.94
  6. Step 6: Final answer
    x = 63,114.83

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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.