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Finding the Fourth Proportional to 92,056.14, 127,040.67 and 51,777

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Solution

The fourth proportional to 92,056.14, 127,040.67 and 51,777 is: 71,454.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,056.14 : 127,040.67 = 51,777 : x
  2. Step 2: Convert to fraction form
    92,056.14/127,040.67 = 51,777/x
  3. Step 3: Cross multiply
    92,056.14x = 127,040.67 × 51,777
  4. Step 4: Simplify right side
    92,056.14x = 6,577,784,770.59
  5. Step 5: Solve for x
    x = 6,577,784,770.59/92,056.14
  6. Step 6: Final answer
    x = 71,454.06

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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.