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Finding the Fourth Proportional to 57,157.98, 78,858.27 and 35,938.86

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Solution

The fourth proportional to 57,157.98, 78,858.27 and 35,938.86 is: 49,583.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,157.98 : 78,858.27 = 35,938.86 : x
  2. Step 2: Convert to fraction form
    57,157.98/78,858.27 = 35,938.86/x
  3. Step 3: Cross multiply
    57,157.98x = 78,858.27 × 35,938.86
  4. Step 4: Simplify right side
    57,157.98x = 2,834,076,325.37
  5. Step 5: Solve for x
    x = 2,834,076,325.37/57,157.98
  6. Step 6: Final answer
    x = 49,583.21

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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.