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Finding the Fourth Proportional to 37,098.63, 51,197.94 and 20,748.08

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Solution

The fourth proportional to 37,098.63, 51,197.94 and 20,748.08 is: 28,633.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,098.63 : 51,197.94 = 20,748.08 : x
  2. Step 2: Convert to fraction form
    37,098.63/51,197.94 = 20,748.08/x
  3. Step 3: Cross multiply
    37,098.63x = 51,197.94 × 20,748.08
  4. Step 4: Simplify right side
    37,098.63x = 1,062,259,082.95
  5. Step 5: Solve for x
    x = 1,062,259,082.95/37,098.63
  6. Step 6: Final answer
    x = 28,633.38

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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.