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Finding the Fourth Proportional to 76,863.60, 106,055.64 and 46,664.82

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Solution

The fourth proportional to 76,863.60, 106,055.64 and 46,664.82 is: 64,387.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,863.60 : 106,055.64 = 46,664.82 : x
  2. Step 2: Convert to fraction form
    76,863.60/106,055.64 = 46,664.82/x
  3. Step 3: Cross multiply
    76,863.60x = 106,055.64 × 46,664.82
  4. Step 4: Simplify right side
    76,863.60x = 4,949,067,350.58
  5. Step 5: Solve for x
    x = 4,949,067,350.58/76,863.60
  6. Step 6: Final answer
    x = 64,387.66

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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.