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Finding the Fourth Proportional to 84,517, 116,633.46 and 46,793.68

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Solution

The fourth proportional to 84,517, 116,633.46 and 46,793.68 is: 64,575.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,517 : 116,633.46 = 46,793.68 : x
  2. Step 2: Convert to fraction form
    84,517/116,633.46 = 46,793.68/x
  3. Step 3: Cross multiply
    84,517x = 116,633.46 × 46,793.68
  4. Step 4: Simplify right side
    84,517x = 5,457,708,804.53
  5. Step 5: Solve for x
    x = 5,457,708,804.53/84,517
  6. Step 6: Final answer
    x = 64,575.28

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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.