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Finding the Fourth Proportional to 37,535.90, 51,798.75 and 20,540.08

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Solution

The fourth proportional to 37,535.90, 51,798.75 and 20,540.08 is: 28,344.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,535.90 : 51,798.75 = 20,540.08 : x
  2. Step 2: Convert to fraction form
    37,535.90/51,798.75 = 20,540.08/x
  3. Step 3: Cross multiply
    37,535.90x = 51,798.75 × 20,540.08
  4. Step 4: Simplify right side
    37,535.90x = 1,063,950,262.38
  5. Step 5: Solve for x
    x = 1,063,950,262.38/37,535.90
  6. Step 6: Final answer
    x = 28,344.87

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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.