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Finding the Fourth Proportional to 57,295.50, 85,948.11 and 15,742.50

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Solution

The fourth proportional to 57,295.50, 85,948.11 and 15,742.50 is: 23,615.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,295.50 : 85,948.11 = 15,742.50 : x
  2. Step 2: Convert to fraction form
    57,295.50/85,948.11 = 15,742.50/x
  3. Step 3: Cross multiply
    57,295.50x = 85,948.11 × 15,742.50
  4. Step 4: Simplify right side
    57,295.50x = 1,353,038,121.68
  5. Step 5: Solve for x
    x = 1,353,038,121.68/57,295.50
  6. Step 6: Final answer
    x = 23,615.09

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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.