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Finding the Fourth Proportional to 37,682.67, 52,000.16 and 22,369.87

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Solution

The fourth proportional to 37,682.67, 52,000.16 and 22,369.87 is: 30,869.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,682.67 : 52,000.16 = 22,369.87 : x
  2. Step 2: Convert to fraction form
    37,682.67/52,000.16 = 22,369.87/x
  3. Step 3: Cross multiply
    37,682.67x = 52,000.16 × 22,369.87
  4. Step 4: Simplify right side
    37,682.67x = 1,163,236,559.18
  5. Step 5: Solve for x
    x = 1,163,236,559.18/37,682.67
  6. Step 6: Final answer
    x = 30,869.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.