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Finding the Fourth Proportional to 81,840.68, 112,932.16 and 46,029.94

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Solution

The fourth proportional to 81,840.68, 112,932.16 and 46,029.94 is: 63,516.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,840.68 : 112,932.16 = 46,029.94 : x
  2. Step 2: Convert to fraction form
    81,840.68/112,932.16 = 46,029.94/x
  3. Step 3: Cross multiply
    81,840.68x = 112,932.16 × 46,029.94
  4. Step 4: Simplify right side
    81,840.68x = 5,198,260,548.87
  5. Step 5: Solve for x
    x = 5,198,260,548.87/81,840.68
  6. Step 6: Final answer
    x = 63,516.83

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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.