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Finding the Fourth Proportional to 37,575.25, 51,853.86 and 20,808.25

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Solution

The fourth proportional to 37,575.25, 51,853.86 and 20,808.25 is: 28,715.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,575.25 : 51,853.86 = 20,808.25 : x
  2. Step 2: Convert to fraction form
    37,575.25/51,853.86 = 20,808.25/x
  3. Step 3: Cross multiply
    37,575.25x = 51,853.86 × 20,808.25
  4. Step 4: Simplify right side
    37,575.25x = 1,078,988,082.35
  5. Step 5: Solve for x
    x = 1,078,988,082.35/37,575.25
  6. Step 6: Final answer
    x = 28,715.39

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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.