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Finding the Fourth Proportional to 37,274.91, 51,412.50 and 21,353.55

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Solution

The fourth proportional to 37,274.91, 51,412.50 and 21,353.55 is: 29,452.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,274.91 : 51,412.50 = 21,353.55 : x
  2. Step 2: Convert to fraction form
    37,274.91/51,412.50 = 21,353.55/x
  3. Step 3: Cross multiply
    37,274.91x = 51,412.50 × 21,353.55
  4. Step 4: Simplify right side
    37,274.91x = 1,097,839,389.38
  5. Step 5: Solve for x
    x = 1,097,839,389.38/37,274.91
  6. Step 6: Final answer
    x = 29,452.50

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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.