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Finding the Fourth Proportional to 84,644.58, 116,803.08 and 46,398

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Solution

The fourth proportional to 84,644.58, 116,803.08 and 46,398 is: 64,025.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,644.58 : 116,803.08 = 46,398 : x
  2. Step 2: Convert to fraction form
    84,644.58/116,803.08 = 46,398/x
  3. Step 3: Cross multiply
    84,644.58x = 116,803.08 × 46,398
  4. Step 4: Simplify right side
    84,644.58x = 5,419,429,305.84
  5. Step 5: Solve for x
    x = 5,419,429,305.84/84,644.58
  6. Step 6: Final answer
    x = 64,025.71

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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.