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Finding the Fourth Proportional to 57,132.50, 85,698.75 and 24,300.50

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Solution

The fourth proportional to 57,132.50, 85,698.75 and 24,300.50 is: 36,450.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,132.50 : 85,698.75 = 24,300.50 : x
  2. Step 2: Convert to fraction form
    57,132.50/85,698.75 = 24,300.50/x
  3. Step 3: Cross multiply
    57,132.50x = 85,698.75 × 24,300.50
  4. Step 4: Simplify right side
    57,132.50x = 2,082,522,474.38
  5. Step 5: Solve for x
    x = 2,082,522,474.38/57,132.50
  6. Step 6: Final answer
    x = 36,450.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.