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Finding the Fourth Proportional to 31,750, 47,626.14 and 12,030

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Solution

The fourth proportional to 31,750, 47,626.14 and 12,030 is: 18,045.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,750 : 47,626.14 = 12,030 : x
  2. Step 2: Convert to fraction form
    31,750/47,626.14 = 12,030/x
  3. Step 3: Cross multiply
    31,750x = 47,626.14 × 12,030
  4. Step 4: Simplify right side
    31,750x = 572,942,464.20
  5. Step 5: Solve for x
    x = 572,942,464.20/31,750
  6. Step 6: Final answer
    x = 18,045.43

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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.