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Finding the Fourth Proportional to 116,684.64, 174,983.76 and 41,793.12

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Solution

The fourth proportional to 116,684.64, 174,983.76 and 41,793.12 is: 62,674.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,684.64 : 174,983.76 = 41,793.12 : x
  2. Step 2: Convert to fraction form
    116,684.64/174,983.76 = 41,793.12/x
  3. Step 3: Cross multiply
    116,684.64x = 174,983.76 × 41,793.12
  4. Step 4: Simplify right side
    116,684.64x = 7,313,117,279.73
  5. Step 5: Solve for x
    x = 7,313,117,279.73/116,684.64
  6. Step 6: Final answer
    x = 62,674.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.