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Finding the Fourth Proportional to 76,731.38, 105,894.62 and 46,517.96

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Solution

The fourth proportional to 76,731.38, 105,894.62 and 46,517.96 is: 64,198.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,731.38 : 105,894.62 = 46,517.96 : x
  2. Step 2: Convert to fraction form
    76,731.38/105,894.62 = 46,517.96/x
  3. Step 3: Cross multiply
    76,731.38x = 105,894.62 × 46,517.96
  4. Step 4: Simplify right side
    76,731.38x = 4,926,001,697.38
  5. Step 5: Solve for x
    x = 4,926,001,697.38/76,731.38
  6. Step 6: Final answer
    x = 64,198.01

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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.