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Finding the Fourth Proportional to 84,157.38, 116,129.10 and 46,429.20

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Solution

The fourth proportional to 84,157.38, 116,129.10 and 46,429.20 is: 64,067.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,157.38 : 116,129.10 = 46,429.20 : x
  2. Step 2: Convert to fraction form
    84,157.38/116,129.10 = 46,429.20/x
  3. Step 3: Cross multiply
    84,157.38x = 116,129.10 × 46,429.20
  4. Step 4: Simplify right side
    84,157.38x = 5,391,781,209.72
  5. Step 5: Solve for x
    x = 5,391,781,209.72/84,157.38
  6. Step 6: Final answer
    x = 64,067.84

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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.