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Finding the Fourth Proportional to 83,906, 115,790.26 and 46,180.24

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Solution

The fourth proportional to 83,906, 115,790.26 and 46,180.24 is: 63,728.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,906 : 115,790.26 = 46,180.24 : x
  2. Step 2: Convert to fraction form
    83,906/115,790.26 = 46,180.24/x
  3. Step 3: Cross multiply
    83,906x = 115,790.26 × 46,180.24
  4. Step 4: Simplify right side
    83,906x = 5,347,221,996.46
  5. Step 5: Solve for x
    x = 5,347,221,996.46/83,906
  6. Step 6: Final answer
    x = 63,728.72

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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.