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Finding the Fourth Proportional to 84,640.98, 116,803.68 and 46,402.64

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Solution

The fourth proportional to 84,640.98, 116,803.68 and 46,402.64 is: 64,035.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,640.98 : 116,803.68 = 46,402.64 : x
  2. Step 2: Convert to fraction form
    84,640.98/116,803.68 = 46,402.64/x
  3. Step 3: Cross multiply
    84,640.98x = 116,803.68 × 46,402.64
  4. Step 4: Simplify right side
    84,640.98x = 5,419,998,529.70
  5. Step 5: Solve for x
    x = 5,419,998,529.70/84,640.98
  6. Step 6: Final answer
    x = 64,035.16

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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.