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Finding the Fourth Proportional to 57,226.50, 78,975 and 32,076

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Solution

The fourth proportional to 57,226.50, 78,975 and 32,076 is: 44,266.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,226.50 : 78,975 = 32,076 : x
  2. Step 2: Convert to fraction form
    57,226.50/78,975 = 32,076/x
  3. Step 3: Cross multiply
    57,226.50x = 78,975 × 32,076
  4. Step 4: Simplify right side
    57,226.50x = 2,533,202,100
  5. Step 5: Solve for x
    x = 2,533,202,100/57,226.50
  6. Step 6: Final answer
    x = 44,266.24

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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.