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Finding the Fourth Proportional to 83,183.64, 114,813.84 and 47,394.81

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Solution

The fourth proportional to 83,183.64, 114,813.84 and 47,394.81 is: 65,416.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,183.64 : 114,813.84 = 47,394.81 : x
  2. Step 2: Convert to fraction form
    83,183.64/114,813.84 = 47,394.81/x
  3. Step 3: Cross multiply
    83,183.64x = 114,813.84 × 47,394.81
  4. Step 4: Simplify right side
    83,183.64x = 5,441,580,132.17
  5. Step 5: Solve for x
    x = 5,441,580,132.17/83,183.64
  6. Step 6: Final answer
    x = 65,416.47

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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.