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Finding the Fourth Proportional to 57,044, 85,600.56 and 24,212

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Solution

The fourth proportional to 57,044, 85,600.56 and 24,212 is: 36,332.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,044 : 85,600.56 = 24,212 : x
  2. Step 2: Convert to fraction form
    57,044/85,600.56 = 24,212/x
  3. Step 3: Cross multiply
    57,044x = 85,600.56 × 24,212
  4. Step 4: Simplify right side
    57,044x = 2,072,560,758.72
  5. Step 5: Solve for x
    x = 2,072,560,758.72/57,044
  6. Step 6: Final answer
    x = 36,332.67

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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.