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Finding the Fourth Proportional to 37,849.34, 52,192.50 and 28,274.22

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Solution

The fourth proportional to 37,849.34, 52,192.50 and 28,274.22 is: 38,988.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,849.34 : 52,192.50 = 28,274.22 : x
  2. Step 2: Convert to fraction form
    37,849.34/52,192.50 = 28,274.22/x
  3. Step 3: Cross multiply
    37,849.34x = 52,192.50 × 28,274.22
  4. Step 4: Simplify right side
    37,849.34x = 1,475,702,227.35
  5. Step 5: Solve for x
    x = 1,475,702,227.35/37,849.34
  6. Step 6: Final answer
    x = 38,988.85

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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.