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Finding the Fourth Proportional to 76,311, 105,315.66 and 42,783.48

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Solution

The fourth proportional to 76,311, 105,315.66 and 42,783.48 is: 59,044.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,311 : 105,315.66 = 42,783.48 : x
  2. Step 2: Convert to fraction form
    76,311/105,315.66 = 42,783.48/x
  3. Step 3: Cross multiply
    76,311x = 105,315.66 × 42,783.48
  4. Step 4: Simplify right side
    76,311x = 4,505,770,433.30
  5. Step 5: Solve for x
    x = 4,505,770,433.30/76,311
  6. Step 6: Final answer
    x = 59,044.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.