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Finding the Fourth Proportional to 84,157.92, 116,138.64 and 46,434.72

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Solution

The fourth proportional to 84,157.92, 116,138.64 and 46,434.72 is: 64,080.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,157.92 : 116,138.64 = 46,434.72 : x
  2. Step 2: Convert to fraction form
    84,157.92/116,138.64 = 46,434.72/x
  3. Step 3: Cross multiply
    84,157.92x = 116,138.64 × 46,434.72
  4. Step 4: Simplify right side
    84,157.92x = 5,392,865,229.58
  5. Step 5: Solve for x
    x = 5,392,865,229.58/84,157.92
  6. Step 6: Final answer
    x = 64,080.31

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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.