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Finding the Fourth Proportional to 57,023, 85,488.36 and 23,768.12

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Solution

The fourth proportional to 57,023, 85,488.36 and 23,768.12 is: 35,632.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,023 : 85,488.36 = 23,768.12 : x
  2. Step 2: Convert to fraction form
    57,023/85,488.36 = 23,768.12/x
  3. Step 3: Cross multiply
    57,023x = 85,488.36 × 23,768.12
  4. Step 4: Simplify right side
    57,023x = 2,031,897,599.08
  5. Step 5: Solve for x
    x = 2,031,897,599.08/57,023
  6. Step 6: Final answer
    x = 35,632.95

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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.