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Finding the Fourth Proportional to 37,003.64, 51,062.50 and 21,892.38

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Solution

The fourth proportional to 37,003.64, 51,062.50 and 21,892.38 is: 30,209.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,003.64 : 51,062.50 = 21,892.38 : x
  2. Step 2: Convert to fraction form
    37,003.64/51,062.50 = 21,892.38/x
  3. Step 3: Cross multiply
    37,003.64x = 51,062.50 × 21,892.38
  4. Step 4: Simplify right side
    37,003.64x = 1,117,879,489.63
  5. Step 5: Solve for x
    x = 1,117,879,489.63/37,003.64
  6. Step 6: Final answer
    x = 30,209.99

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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.