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Finding the Fourth Proportional to 37,977.28, 51,953.16 and 37,817.35

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Solution

The fourth proportional to 37,977.28, 51,953.16 and 37,817.35 is: 51,734.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,977.28 : 51,953.16 = 37,817.35 : x
  2. Step 2: Convert to fraction form
    37,977.28/51,953.16 = 37,817.35/x
  3. Step 3: Cross multiply
    37,977.28x = 51,953.16 × 37,817.35
  4. Step 4: Simplify right side
    37,977.28x = 1,964,730,835.33
  5. Step 5: Solve for x
    x = 1,964,730,835.33/37,977.28
  6. Step 6: Final answer
    x = 51,734.37

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.