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Finding the Fourth Proportional to 76,678.17, 105,857.38 and 53,778.31

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Solution

The fourth proportional to 76,678.17, 105,857.38 and 53,778.31 is: 74,243.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,678.17 : 105,857.38 = 53,778.31 : x
  2. Step 2: Convert to fraction form
    76,678.17/105,857.38 = 53,778.31/x
  3. Step 3: Cross multiply
    76,678.17x = 105,857.38 × 53,778.31
  4. Step 4: Simplify right side
    76,678.17x = 5,692,830,997.43
  5. Step 5: Solve for x
    x = 5,692,830,997.43/76,678.17
  6. Step 6: Final answer
    x = 74,243.18

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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.