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Finding the Fourth Proportional to 36,977.39, 51,028.80 and 20,210.39

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Solution

The fourth proportional to 36,977.39, 51,028.80 and 20,210.39 is: 27,890.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,977.39 : 51,028.80 = 20,210.39 : x
  2. Step 2: Convert to fraction form
    36,977.39/51,028.80 = 20,210.39/x
  3. Step 3: Cross multiply
    36,977.39x = 51,028.80 × 20,210.39
  4. Step 4: Simplify right side
    36,977.39x = 1,031,311,949.23
  5. Step 5: Solve for x
    x = 1,031,311,949.23/36,977.39
  6. Step 6: Final answer
    x = 27,890.34

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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.