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Finding the Fourth Proportional to 76,687.92, 105,804.66 and 46,463.58

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Solution

The fourth proportional to 76,687.92, 105,804.66 and 46,463.58 is: 64,104.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,687.92 : 105,804.66 = 46,463.58 : x
  2. Step 2: Convert to fraction form
    76,687.92/105,804.66 = 46,463.58/x
  3. Step 3: Cross multiply
    76,687.92x = 105,804.66 × 46,463.58
  4. Step 4: Simplify right side
    76,687.92x = 4,916,063,284.28
  5. Step 5: Solve for x
    x = 4,916,063,284.28/76,687.92
  6. Step 6: Final answer
    x = 64,104.79

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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.