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Finding the Fourth Proportional to 37,458, 51,692.58 and 20,691

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Solution

The fourth proportional to 37,458, 51,692.58 and 20,691 is: 28,553.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,458 : 51,692.58 = 20,691 : x
  2. Step 2: Convert to fraction form
    37,458/51,692.58 = 20,691/x
  3. Step 3: Cross multiply
    37,458x = 51,692.58 × 20,691
  4. Step 4: Simplify right side
    37,458x = 1,069,571,172.78
  5. Step 5: Solve for x
    x = 1,069,571,172.78/37,458
  6. Step 6: Final answer
    x = 28,553.88

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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.