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Finding the Fourth Proportional to 37,657.00, 51,966.20 and 20,661.39

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Solution

The fourth proportional to 37,657.00, 51,966.20 and 20,661.39 is: 28,512.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,657.00 : 51,966.20 = 20,661.39 : x
  2. Step 2: Convert to fraction form
    37,657.00/51,966.20 = 20,661.39/x
  3. Step 3: Cross multiply
    37,657.00x = 51,966.20 × 20,661.39
  4. Step 4: Simplify right side
    37,657.00x = 1,073,693,976.67
  5. Step 5: Solve for x
    x = 1,073,693,976.67/37,657.00
  6. Step 6: Final answer
    x = 28,512.47

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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.