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Finding the Fourth Proportional to 37,884.33, 52,291.85 and 21,972.69

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Solution

The fourth proportional to 37,884.33, 52,291.85 and 21,972.69 is: 30,328.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,884.33 : 52,291.85 = 21,972.69 : x
  2. Step 2: Convert to fraction form
    37,884.33/52,291.85 = 21,972.69/x
  3. Step 3: Cross multiply
    37,884.33x = 52,291.85 × 21,972.69
  4. Step 4: Simplify right side
    37,884.33x = 1,148,992,499.71
  5. Step 5: Solve for x
    x = 1,148,992,499.71/37,884.33
  6. Step 6: Final answer
    x = 30,328.96

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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.