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Finding the Fourth Proportional to 37,988.42, 52,423.80 and 20,993.84

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Solution

The fourth proportional to 37,988.42, 52,423.80 and 20,993.84 is: 28,971.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,988.42 : 52,423.80 = 20,993.84 : x
  2. Step 2: Convert to fraction form
    37,988.42/52,423.80 = 20,993.84/x
  3. Step 3: Cross multiply
    37,988.42x = 52,423.80 × 20,993.84
  4. Step 4: Simplify right side
    37,988.42x = 1,100,576,607.27
  5. Step 5: Solve for x
    x = 1,100,576,607.27/37,988.42
  6. Step 6: Final answer
    x = 28,971.37

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