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Finding the Fourth Proportional to 84,471.10, 116,568.63 and 48,661

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Solution

The fourth proportional to 84,471.10, 116,568.63 and 48,661 is: 67,151.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,471.10 : 116,568.63 = 48,661 : x
  2. Step 2: Convert to fraction form
    84,471.10/116,568.63 = 48,661/x
  3. Step 3: Cross multiply
    84,471.10x = 116,568.63 × 48,661
  4. Step 4: Simplify right side
    84,471.10x = 5,672,346,104.43
  5. Step 5: Solve for x
    x = 5,672,346,104.43/84,471.10
  6. Step 6: Final answer
    x = 67,151.32

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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.