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Finding the Fourth Proportional to 57,163.80, 78,876.60 and 35,928

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Solution

The fourth proportional to 57,163.80, 78,876.60 and 35,928 is: 49,574.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,163.80 : 78,876.60 = 35,928 : x
  2. Step 2: Convert to fraction form
    57,163.80/78,876.60 = 35,928/x
  3. Step 3: Cross multiply
    57,163.80x = 78,876.60 × 35,928
  4. Step 4: Simplify right side
    57,163.80x = 2,833,878,484.80
  5. Step 5: Solve for x
    x = 2,833,878,484.80/57,163.80
  6. Step 6: Final answer
    x = 49,574.70

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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.