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Finding the Fourth Proportional to 76,677.17, 105,856 and 53,777.31

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Solution

The fourth proportional to 76,677.17, 105,856 and 53,777.31 is: 74,241.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,677.17 : 105,856 = 53,777.31 : x
  2. Step 2: Convert to fraction form
    76,677.17/105,856 = 53,777.31/x
  3. Step 3: Cross multiply
    76,677.17x = 105,856 × 53,777.31
  4. Step 4: Simplify right side
    76,677.17x = 5,692,650,927.36
  5. Step 5: Solve for x
    x = 5,692,650,927.36/76,677.17
  6. Step 6: Final answer
    x = 74,241.80

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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.