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Finding the Fourth Proportional to 37,334, 51,520.92 and 20,567.36

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Solution

The fourth proportional to 37,334, 51,520.92 and 20,567.36 is: 28,382.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,334 : 51,520.92 = 20,567.36 : x
  2. Step 2: Convert to fraction form
    37,334/51,520.92 = 20,567.36/x
  3. Step 3: Cross multiply
    37,334x = 51,520.92 × 20,567.36
  4. Step 4: Simplify right side
    37,334x = 1,059,649,309.17
  5. Step 5: Solve for x
    x = 1,059,649,309.17/37,334
  6. Step 6: Final answer
    x = 28,382.96

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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.