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Finding the Fourth Proportional to 83,177.49, 114,790.38 and 46,887.87

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Solution

The fourth proportional to 83,177.49, 114,790.38 and 46,887.87 is: 64,708.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,177.49 : 114,790.38 = 46,887.87 : x
  2. Step 2: Convert to fraction form
    83,177.49/114,790.38 = 46,887.87/x
  3. Step 3: Cross multiply
    83,177.49x = 114,790.38 × 46,887.87
  4. Step 4: Simplify right side
    83,177.49x = 5,382,276,414.69
  5. Step 5: Solve for x
    x = 5,382,276,414.69/83,177.49
  6. Step 6: Final answer
    x = 64,708.33

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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.