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Finding the Fourth Proportional to 37,328, 51,512.64 and 20,561.36

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Solution

The fourth proportional to 37,328, 51,512.64 and 20,561.36 is: 28,374.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,328 : 51,512.64 = 20,561.36 : x
  2. Step 2: Convert to fraction form
    37,328/51,512.64 = 20,561.36/x
  3. Step 3: Cross multiply
    37,328x = 51,512.64 × 20,561.36
  4. Step 4: Simplify right side
    37,328x = 1,059,169,935.59
  5. Step 5: Solve for x
    x = 1,059,169,935.59/37,328
  6. Step 6: Final answer
    x = 28,374.68

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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.