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Finding the Fourth Proportional to 76,192.74, 105,137 and 43,927

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Solution

The fourth proportional to 76,192.74, 105,137 and 43,927 is: 60,614.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,192.74 : 105,137 = 43,927 : x
  2. Step 2: Convert to fraction form
    76,192.74/105,137 = 43,927/x
  3. Step 3: Cross multiply
    76,192.74x = 105,137 × 43,927
  4. Step 4: Simplify right side
    76,192.74x = 4,618,352,999
  5. Step 5: Solve for x
    x = 4,618,352,999/76,192.74
  6. Step 6: Final answer
    x = 60,614.08

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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.