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Finding the Fourth Proportional to 37,458.38, 51,692.68 and 21,541.78

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Solution

The fourth proportional to 37,458.38, 51,692.68 and 21,541.78 is: 29,727.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,458.38 : 51,692.68 = 21,541.78 : x
  2. Step 2: Convert to fraction form
    37,458.38/51,692.68 = 21,541.78/x
  3. Step 3: Cross multiply
    37,458.38x = 51,692.68 × 21,541.78
  4. Step 4: Simplify right side
    37,458.38x = 1,113,552,431.71
  5. Step 5: Solve for x
    x = 1,113,552,431.71/37,458.38
  6. Step 6: Final answer
    x = 29,727.72

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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.